88524100900 has 27 divisors (see below), whose sum is σ = 192103755571. Its totient is φ = 35408450240.

The previous prime is 88524100843. The next prime is 88524100927. The reversal of 88524100900 is 900142588.

The square root of 88524100900 is 297530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19800429796 + 68723671104 = 140714^2 + 262152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 88524100900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2960424 + ... + 2990176.

Almost surely, 2^88524100900 is an apocalyptic number.

88524100900 is the 297530-th square number.

It is an amenable number.

88524100900 is an abundant number, since it is smaller than the sum of its proper divisors (103579654671).

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

88524100900 is an frugal number, since it uses more digits than its factorization.

88524100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59520 (or 29760 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 88524100900 in words is "eighty-eight billion, five hundred twenty-four million, one hundred thousand, nine hundred".