99913120 has 96 divisors (see below), whose sum is σ = 248890320. Its totient is φ = 37847040.

The previous prime is 99913027. The next prime is 99913157. The reversal of 99913120 is 2131999.

It can be written as a sum of positive squares in 8 ways, for example, as 13571856 + 86341264 = 3684^2 + 9292^2 .

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 15 ways as a sum of consecutive naturals, for example, 282864 + ... + 283216.

Almost surely, 2^99913120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124445160).

99913120 is an abundant number, since it is smaller than the sum of its proper divisors (148977200).

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

99913120 is a wasteful number, since it uses less digits than its factorization.

99913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 99913120 is about 9995.6550560731. The cubic root of 99913120 is about 464.0244240017.

The spelling of 99913120 in words is "ninety-nine million, nine hundred thirteen thousand, one hundred twenty".