105916864 has 28 divisors (see below), whose sum is σ = 210731608. Its totient is φ = 52819200.

The previous prime is 105916861. The next prime is 105916871. The reversal of 105916864 is 468619501.

It is a super-2 number, since 2×105916864² = 22436764159188992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105916861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24979 + ... + 28909.

Almost surely, 2^105916864 is an apocalyptic number.

It is an amenable number.

105916864 is a deficient number, since it is larger than the sum of its proper divisors (104814744).

105916864 is an equidigital number, since it uses as much as digits as its factorization.

105916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 105916864 is about 10291.5919079606. The cubic root of 105916864 is about 473.1385899047.

The spelling of 105916864 in words is "one hundred five million, nine hundred sixteen thousand, eight hundred sixty-four".