105564324 has 48 divisors (see below), whose sum is σ = 251899200. Its totient is φ = 34400256.

The previous prime is 105564313. The next prime is 105564337. The reversal of 105564324 is 423465501.

It is a super-2 number, since 2×105564324² = 22287653003153952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105564291 and 105564300.

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 15 ways as a sum of consecutive naturals, for example, 103087 + ... + 104105.

It is an arithmetic number, because the mean of its divisors is an integer number (5247900).

Almost surely, 2^105564324 is an apocalyptic number.

It is an amenable number.

105564324 is an abundant number, since it is smaller than the sum of its proper divisors (146334876).

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

105564324 is a wasteful number, since it uses less digits than its factorization.

105564324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 105564324 is about 10274.4500582756. The cubic root of 105564324 is about 472.6130655208.

The spelling of 105564324 in words is "one hundred five million, five hundred sixty-four thousand, three hundred twenty-four".