105109864 has 16 divisors (see below), whose sum is σ = 197205120. Its totient is φ = 52521840.

The previous prime is 105109831. The next prime is 105109877. The reversal of 105109864 is 468901501.

It is a super-2 number, since 2×105109864² = 22096167020196992, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14079 + ... + 20209.

It is an arithmetic number, because the mean of its divisors is an integer number (12325320).

Almost surely, 2^105109864 is an apocalyptic number.

It is an amenable number.

105109864 is a deficient number, since it is larger than the sum of its proper divisors (92095256).

105109864 is a wasteful number, since it uses less digits than its factorization.

105109864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 105109864 is about 10252.3101786866. The cubic root of 105109864 is about 471.9338818618.

The spelling of 105109864 in words is "one hundred five million, one hundred nine thousand, eight hundred sixty-four".