105624332 has 24 divisors (see below), whose sum is σ = 213509520. Its totient is φ = 45186560.

The previous prime is 105624331. The next prime is 105624359. The reversal of 105624332 is 233426501.

It is a super-2 number, since 2×105624332² = 22312999020892448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105624331) by changing a digit.

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, 69857 + ... + 71352.

It is an arithmetic number, because the mean of its divisors is an integer number (8896230).

Almost surely, 2^105624332 is an apocalyptic number.

It is an amenable number.

105624332 is an abundant number, since it is smaller than the sum of its proper divisors (107885188).

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

105624332 is a wasteful number, since it uses less digits than its factorization.

105624332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141241 (or 141239 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 105624332 is about 10277.3698970116. The cubic root of 105624332 is about 472.7026007968.

The spelling of 105624332 in words is "one hundred five million, six hundred twenty-four thousand, three hundred thirty-two".