105552864 has 72 divisors (see below), whose sum is σ = 317837520. Its totient is φ = 33113088.

The previous prime is 105552859. The next prime is 105552871. The reversal of 105552864 is 468255501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105552864² = 22282814197204992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5884 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2^105552864 is an apocalyptic number.

It is an amenable number.

105552864 is an abundant number, since it is smaller than the sum of its proper divisors (212284656).

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

105552864 is a wasteful number, since it uses less digits than its factorization.

105552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592 (or 21581 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 105552864 is about 10273.8923490564. The cubic root of 105552864 is about 472.5959627044.

The spelling of 105552864 in words is "one hundred five million, five hundred fifty-two thousand, eight hundred sixty-four".