91572812100 has 729 divisors, whose sum is σ = 369828115293. Its totient is φ = 18882864000.

The previous prime is 91572812087. The next prime is 91572812117. The reversal of 91572812100 is 121827519.

It is a happy number.

The square root of 91572812100 is 302610.

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

91572812100 is a `hidden beast` number, since 9 + 1 + 572 + 81 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32966212356 + 58606599744 = 181566^2 + 242088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 699029035 + ... + 699029165.

Almost surely, 2^91572812100 is an apocalyptic number.

91572812100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

91572812100 is the 302610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91572812100

91572812100 is an abundant number, since it is smaller than the sum of its proper divisors (278255303193).

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

91572812100 is a wasteful number, since it uses less digits than its factorization.

91572812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 91572812100 by its sum of digits (36), we get a square (3296621235600 = 1815660²).

91572812100 divided by its sum of digits (36) gives a square (2543689225 = 50435²).

The spelling of 91572812100 in words is "ninety-one billion, five hundred seventy-two million, eight hundred twelve thousand, one hundred".