90192102400 has 99 divisors (see below), whose sum is σ = 223686369199. Its totient is φ = 36057620480.

The previous prime is 90192102353. The next prime is 90192102431. The reversal of 90192102400 is 420129109.

It is a happy number.

The square root of 90192102400 is 300320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19219456 + 90172882944 = 4384^2 + 300288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48050262 + ... + 48052138.

Almost surely, 2^90192102400 is an apocalyptic number.

90192102400 is the 300320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90192102400

90192102400 is an abundant number, since it is smaller than the sum of its proper divisors (133494266799).

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

90192102400 is an frugal number, since it uses more digits than its factorization.

90192102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Multiplying 90192102400 by its product of nonzero digits (1296), we get a square (116888964710400 = 10811520²).

The spelling of 90192102400 in words is "ninety billion, one hundred ninety-two million, one hundred two thousand, four hundred".