105323664 has 20 divisors (see below), whose sum is σ = 272086256. Its totient is φ = 35107872.

The previous prime is 105323651. The next prime is 105323671. The reversal of 105323664 is 466323501.

It is a super-2 number, since 2×105323664² = 22186148396769792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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, 1097074 + ... + 1097169.

Almost surely, 2^105323664 is an apocalyptic number.

It is an amenable number.

105323664 is an abundant number, since it is smaller than the sum of its proper divisors (166762592).

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

105323664 is a wasteful number, since it uses less digits than its factorization.

105323664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194254 (or 2194248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 105323664 is about 10262.7318000618. The cubic root of 105323664 is about 472.2536461078.

It can be divided in two parts, 10532 and 3664, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 105323664 in words is "one hundred five million, three hundred twenty-three thousand, six hundred sixty-four".