89155988100 has 243 divisors, whose sum is σ = 288283115757. Its totient is φ = 23046370560.

The previous prime is 89155988039. The next prime is 89155988149. The reversal of 89155988100 is 188955198.

The square root of 89155988100 is 298590.

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

89155988100 is a `hidden beast` number, since 8 + 9 + 1 + 559 + 8 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 62981925444 + 26174062656 = 250962^2 + 161784^2 .

It is a super-2 number, since 2×89155988100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 331434766 + ... + 331435034.

Almost surely, 2^89155988100 is an apocalyptic number.

89155988100 is the 298590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89155988100

89155988100 is an abundant number, since it is smaller than the sum of its proper divisors (199127127657).

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

89155988100 is a wasteful number, since it uses less digits than its factorization.

89155988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 89155988100 in words is "eighty-nine billion, one hundred fifty-five million, nine hundred eighty-eight thousand, one hundred".