87184372900 has 27 divisors (see below), whose sum is σ = 189196496769. Its totient is φ = 34872568080.

The previous prime is 87184372897. The next prime is 87184372901. The reversal of 87184372900 is 927348178.

The square root of 87184372900 is 295270.

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

It can be written as a sum of positive squares in only one way, i.e., 31386374244 + 55797998656 = 177162^2 + 236216^2 .

It is a super-2 number, since 2×87184372900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87184372901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2937937 + ... + 2967463.

Almost surely, 2^87184372900 is an apocalyptic number.

87184372900 is the 295270-th square number.

It is an amenable number.

87184372900 is an abundant number, since it is smaller than the sum of its proper divisors (102012123869).

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

87184372900 is an frugal number, since it uses more digits than its factorization.

87184372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59068 (or 29534 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 87184372900 by its sum of digits (49), we get a square (4272034272100 = 2066890²).

The spelling of 87184372900 in words is "eighty-seven billion, one hundred eighty-four million, three hundred seventy-two thousand, nine hundred".