107088864 has 48 divisors (see below), whose sum is σ = 295908480. Its totient is φ = 33816960.

The previous prime is 107088859. The next prime is 107088871. The reversal of 107088864 is 468880701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107088864² = 22936049585620992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27532 + ... + 31179.

It is an arithmetic number, because the mean of its divisors is an integer number (6164760).

Almost surely, 2^107088864 is an apocalyptic number.

It is an amenable number.

107088864 is an abundant number, since it is smaller than the sum of its proper divisors (188819616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107088864 is a wasteful number, since it uses less digits than its factorization.

107088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58743 (or 58735 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 107088864 is about 10348.3749448887. The cubic root of 107088864 is about 474.8773297262.

The spelling of 107088864 in words is "one hundred seven million, eighty-eight thousand, eight hundred sixty-four".