105225924 has 24 divisors (see below), whose sum is σ = 245706048. Its totient is φ = 35049760.

The previous prime is 105225899. The next prime is 105225959. The reversal of 105225924 is 429522501.

It is a super-2 number, since 2×105225924² = 22144990163307552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105225891 and 105225900.

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 7 ways as a sum of consecutive naturals, for example, 21769 + ... + 26159.

It is an arithmetic number, because the mean of its divisors is an integer number (10237752).

Almost surely, 2^105225924 is an apocalyptic number.

It is an amenable number.

105225924 is an abundant number, since it is smaller than the sum of its proper divisors (140480124).

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

105225924 is a wasteful number, since it uses less digits than its factorization.

105225924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105225924 is about 10257.9688047878. The cubic root of 105225924 is about 472.1075176400.

The spelling of 105225924 in words is "one hundred five million, two hundred twenty-five thousand, nine hundred twenty-four".