87857538100 has 72 divisors (see below), whose sum is σ = 191670848600. Its totient is φ = 34955366400.

The previous prime is 87857538077. The next prime is 87857538127. The reversal of 87857538100 is 183575878.

It can be written as a sum of positive squares in 12 ways, for example, as 40802384016 + 47055154084 = 201996^2 + 216922^2 .

It is a super-2 number, since 2×87857538100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27207286 + ... + 27210514.

Almost surely, 2^87857538100 is an apocalyptic number.

It is an amenable number.

87857538100 is an abundant number, since it is smaller than the sum of its proper divisors (103813310500).

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

87857538100 is a wasteful number, since it uses less digits than its factorization.

87857538100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 52.

The spelling of 87857538100 in words is "eighty-seven billion, eight hundred fifty-seven million, five hundred thirty-eight thousand, one hundred".