105386924 has 12 divisors (see below), whose sum is σ = 185394048. Its totient is φ = 52417200.

The previous prime is 105386917. The next prime is 105386951. The reversal of 105386924 is 429683501.

It is a happy number.

It is a super-2 number, since 2×105386924² = 22212807500363552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 68207 + ... + 69734.

It is an arithmetic number, because the mean of its divisors is an integer number (15449504).

Almost surely, 2^105386924 is an apocalyptic number.

It is an amenable number.

105386924 is a deficient number, since it is larger than the sum of its proper divisors (80007124).

105386924 is a wasteful number, since it uses less digits than its factorization.

105386924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138136 (or 138134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 105386924 is about 10265.8133628076. The cubic root of 105386924 is about 472.3481762616.

The spelling of 105386924 in words is "one hundred five million, three hundred eighty-six thousand, nine hundred twenty-four".