107138967 has 32 divisors (see below), whose sum is σ = 163000320. Its totient is φ = 62052480.

The previous prime is 107138959. The next prime is 107138987. The reversal of 107138967 is 769831701.

It is not a de Polignac number, because 107138967 - 2³ = 107138959 is a prime.

It is a super-2 number, since 2×107138967² = 22957516499654178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107138957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141153 + ... + 141909.

It is an arithmetic number, because the mean of its divisors is an integer number (5093760).

Almost surely, 2^107138967 is an apocalyptic number.

107138967 is a deficient number, since it is larger than the sum of its proper divisors (55861353).

107138967 is a wasteful number, since it uses less digits than its factorization.

107138967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 107138967 is about 10350.7954766771. The cubic root of 107138967 is about 474.9513774792.

The spelling of 107138967 in words is "one hundred seven million, one hundred thirty-eight thousand, nine hundred sixty-seven".