9164232900 has 81 divisors (see below), whose sum is σ = 28733783533. Its totient is φ = 2443029600.

The previous prime is 9164232839. The next prime is 9164232911. The reversal of 9164232900 is 92324619.

The square root of 9164232900 is 95730.

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

9164232900 is a `hidden beast` number, since 9 + 1 + 642 + 3 + 2 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3299123844 + 5865109056 = 57438^2 + 76584^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2870305 + ... + 2873495.

Almost surely, 2^9164232900 is an apocalyptic number.

9164232900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9164232900 is the 95730-th square number.

It is an amenable number.

9164232900 is an abundant number, since it is smaller than the sum of its proper divisors (19569550633).

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

9164232900 is a wasteful number, since it uses less digits than its factorization.

9164232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 9164232900 is about 2092.6601582598.

Multiplying 9164232900 by its sum of digits (36), we get a square (329912384400 = 574380²).

9164232900 divided by its sum of digits (36) gives a square (254562025 = 15955²).

It can be divided in two parts, 9164 and 232900, that added together give a square (242064 = 492²).

The spelling of 9164232900 in words is "nine billion, one hundred sixty-four million, two hundred thirty-two thousand, nine hundred".