992880100 has 81 divisors (see below), whose sum is σ = 2268858907. Its totient is φ = 377111680.

The previous prime is 992880079. The next prime is 992880127. The reversal of 992880100 is 1088299.

The square root of 992880100 is 31510.

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 2896804 + 989983296 = 1702^2 + 31464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 992880100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7247232 + ... + 7247368.

Almost surely, 2^992880100 is an apocalyptic number.

992880100 is the 31510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992880100

992880100 is an abundant number, since it is smaller than the sum of its proper divisors (1275978807).

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

992880100 is a wasteful number, since it uses less digits than its factorization.

992880100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The cubic root of 992880100 is about 997.6210450612.

The spelling of 992880100 in words is "nine hundred ninety-two million, eight hundred eighty thousand, one hundred".