107 is a 3-digit prime number. 107 has 2 factors, 1 and 107. It is the 28th prime number, and the third prime number from 101-200.
Proofs[]
— 107 is divisible by 1.
— 107 is not divisible by 2-106.
- — 107 is divisible by 107.
Therefore, 107 is a prime number.
As an Exponent of Mersenne Number[]
2107 - 1, which is equal to 162,259,276,829,213,363,391,578,010,288,127, is the eleventh Mersenne prime.
Relationship with other odd numbers[]
The numbers before[]
- 101 is the second previous prime number.
- The difference between 107 and 101 is 6. Therefore, they are sexy primes.
- 103 is the previous prime number.
- The difference between 107 and 103 is 4. Therefore, they are cousin primes.
- 105 is a composite number; its prime factorization is 3 × 5 × 7.
The numbers after[]
- 109 is the prime number following 107.
- The difference between 109 and 107 is 2. Therefore, they are twin primes.
- 111 is a composite number; its prime factorization is 3 × 37.
- 113 is the prime number following 109.
- The difference between 113 and 107 is 6. Therefore, they are sexy primes.
In science[]
- 107 is the atomic number of bohrium.
Trivia[]
- 107 is the smallest positive integer spoken with six syllables in English. If "and" is not counted, it stands at only five syllables. 77 is a smaller positive integer with five syllables.
- 107 is an emirp, since reversing its decimal digits results in another prime number. In this case, it is 701.
- 107 is a Chen prime, since 107 + 2 = 109 is prime.