107767107 has 24 divisors (see below), whose sum is σ = 187266560. Its totient is φ = 58339440.

The previous prime is 107767087. The next prime is 107767109. The reversal of 107767107 is 701767701.

It is not a de Polignac number, because 107767107 - 2⁸ = 107766851 is a prime.

It is a super-2 number, since 2×107767107² = 23227498702298898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107767109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43819 + ... + 46212.

Almost surely, 2^107767107 is an apocalyptic number.

107767107 is a deficient number, since it is larger than the sum of its proper divisors (79499453).

107767107 is a wasteful number, since it uses less digits than its factorization.

107767107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90063 (or 90060 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 36.

The square root of 107767107 is about 10381.0937285047. The cubic root of 107767107 is about 475.8777594326.

The spelling of 107767107 in words is "one hundred seven million, seven hundred sixty-seven thousand, one hundred seven".