91152900 has 54 divisors (see below), whose sum is σ = 285716522. Its totient is φ = 24307200.

The previous prime is 91152889. The next prime is 91152913. The reversal of 91152900 is 925119.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 484416 + 90668484 = 696^2 + 9522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49741 + ... + 51540.

Almost surely, 2^91152900 is an apocalyptic number.

91152900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91152900 is an abundant number, since it is smaller than the sum of its proper divisors (194563622).

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

91152900 is a wasteful number, since it uses less digits than its factorization.

91152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101301 (or 101291 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 91152900 is about 9547.4027881932. The cubic root of 91152900 is about 450.0459212396.

The spelling of 91152900 in words is "ninety-one million, one hundred fifty-two thousand, nine hundred".