105924768 has 48 divisors (see below), whose sum is σ = 287030016. Its totient is φ = 34168320.

The previous prime is 105924751. The next prime is 105924787. The reversal of 105924768 is 867429501.

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

It is a super-2 number, since 2×105924768² = 22440112951707648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14821 + ... + 20772.

It is an arithmetic number, because the mean of its divisors is an integer number (5979792).

Almost surely, 2^105924768 is an apocalyptic number.

It is an amenable number.

105924768 is an abundant number, since it is smaller than the sum of its proper divisors (181105248).

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

105924768 is a wasteful number, since it uses less digits than its factorization.

105924768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35637 (or 35629 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 105924768 is about 10291.9759035862. The cubic root of 105924768 is about 473.1503588659.

The spelling of 105924768 in words is "one hundred five million, nine hundred twenty-four thousand, seven hundred sixty-eight".