← 106 107 108 →
Cardinalone hundred seven
Ordinal107th
(one hundred seventh)
Factorizationprime
Prime28th
Divisors1, 107
Greek numeralΡΖ´
Roman numeralCVII
Binary11010112
Ternary102223
Senary2556
Octal1538
Duodecimal8B12

107 (one hundred [and] seven) is the natural number following 106 and preceding 108.

## In mathematics

107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime.[1]

Plugged into the expression ${\displaystyle 2^{p}-1}$, 107 yields 162259276829213363391578010288127, a Mersenne prime.[2] 107 is itself a safe prime.[3]

It is the fourth Busy beaver number, the maximum number of steps that any Turing machine with 2 symbols and 4 states can make before eventually halting.[4]

It is the number of triangle-free graphs on 7 vertices.[5]

It is the ninth emirp, because reversing its digits gives another prime number (701)

## In other fields

As "one hundred and seven", it is the smallest positive integer requiring six syllables in English (without the "and" it only has five syllables and seventy-seven is a smaller 5-syllable number).

107 is also: