99799128100 has 81 divisors (see below), whose sum is σ = 251977347027. Its totient is φ = 34209262080.

The previous prime is 99799128089. The next prime is 99799128113. The reversal of 99799128100 is 182199799.

The square root of 99799128100 is 315910.

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 61842737124 + 37956390976 = 248682^2 + 194824^2 .

It is a super-2 number, since 2×99799128100² (a number of 23 digits) contains 22 as substring.

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, 22111444 + ... + 22115956.

Almost surely, 2^99799128100 is an apocalyptic number.

99799128100 is the 315910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99799128100

99799128100 is an abundant number, since it is smaller than the sum of its proper divisors (152178218927).

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

99799128100 is an equidigital number, since it uses as much as digits as its factorization.

99799128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 55.

The spelling of 99799128100 in words is "ninety-nine billion, seven hundred ninety-nine million, one hundred twenty-eight thousand, one hundred".