87118100 has 18 divisors (see below), whose sum is σ = 189046494. Its totient is φ = 34847200.

The previous prime is 87118079. The next prime is 87118133. The reversal of 87118100 is 181178.

It can be written as a sum of positive squares in 3 ways, for example, as 925444 + 86192656 = 962^2 + 9284^2 .

It is a super-2 number, since 2×87118100² = 15179126695220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87118100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435491 + ... + 435690.

It is an arithmetic number, because the mean of its divisors is an integer number (10502583).

Almost surely, 2^87118100 is an apocalyptic number.

It is an amenable number.

87118100 is an abundant number, since it is smaller than the sum of its proper divisors (101928394).

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

87118100 is a wasteful number, since it uses less digits than its factorization.

87118100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871195 (or 871188 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 26.

The square root of 87118100 is about 9333.7077305860. The cubic root of 87118100 is about 443.3051721737.

Adding to 87118100 its reverse (181178), we get a palindrome (87299278).

The spelling of 87118100 in words is "eighty-seven million, one hundred eighteen thousand, one hundred".