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100 or one hundred (Roman numeral: C) is the natural number following 99 and preceding 101.

In mathematics

100 is the square of 10 (in scientific notation it is written as 10). The standard SI prefix for a hundred is "hecto-".

100 is the basis of percentages (per centum meaning "by the hundred" in Latin), with 100% being a full amount.

100 is a Harshad number in decimal, and also in base-four, a base in-which it is also a self-descriptive number.

100 is the sum of the first nine prime numbers, from 2 through 23. It is also divisible by the number of primes below it, 25.

100 cannot be expressed as the difference between any integer and the total of coprimes below it, making it a noncototient.

100 has a reduced totient of 20, and an Euler totient of 40. A totient value of 100 is obtained from four numbers: 101, 125, 202, and 250.

100 can be expressed as a sum of some of its divisors, making it a semiperfect number. The geometric mean of its nine divisors is 10.

100 is the sum of the cubes of the first four positive integers (100 = 1 + 2 + 3 + 4). This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four positive integers: 100 = 10 = (1 + 2 + 3 + 4).

100 = 2 + 6, thus 100 is the seventh Leyland number. 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number.

It is the 10th star number (whose digit sum also adds to 10 in decimal).

In history

• In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of "hundred" to describe the long hundred of six score or 120.

In money

Most of the world's currencies are divided into 100 subunits; for example, one euro is one hundred cents and one pound sterling is one hundred pence.

By specification, 100 euro notes feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.

The U.S. hundred-dollar bill has Benjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print.

In other fields

One hundred is also:

• The HTTP status code indicating that the client should continue with its request.

See also

• 1 vs. 100
• AFI's 100 Years...
• Hundred (county division)
• Hundred (word)
• Hundred Days
• Hundred Years' War
• List of highways numbered 100
• Top 100
• Greatest 100

References

1. Reinforced by but not originally derived from Latin centum.
2. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
3. Sloane, N. J. A. (ed.). "Sequence A108551 (Self-descriptive numbers in various bases represented in base 10)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
4. Sloane, N. J. A. (ed.). "Sequence A007504 (Sum of the first n primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. Sloane, N. J. A. (ed.). "Sequence A057809 (Numbers n such that pi(n) divides n.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
6. Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
7. Sloane, N. J. A. (ed.). "Sequence A002322 (Reduced totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
8. Sloane, N. J. A. (ed.). "Sequence A000010 (Euler totient function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
9. Sloane, N. J. A. (ed.). "Sequence A005835 (Pseudoperfect (or semiperfect) numbers n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
10. Sloane, N. J. A. (ed.). "Sequence A025403 (Numbers that are the sum of 4 positive cubes in exactly 1 way.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-08.
11. Sloane, N. J. A. (ed.). "Sequence A000537 (Sum of first n cubes; or n-th triangular number squared)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
12. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
13. Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-11-30.
14. "Sloane's A051870 : 18-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
15. Sloane, N. J. A. (ed.). "Sequence A003154". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-09-02.
16. see Duodecimal § Origin

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 133

External links

• Chisholm, Hugh, ed. (1911). "Hundred" . Encyclopædia Britannica (11th ed.). Cambridge University Press.
• "On the Number 100". WisdomPortal.com.

• Integers
• 100 (number)