99102960 has 320 divisors, whose sum is σ = 384975360. Its totient is φ = 23224320.

The previous prime is 99102959. The next prime is 99102989. The reversal of 99102960 is 6920199.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021632 + ... + 1021728.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^99102960 is an apocalyptic number.

99102960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

99102960 is an abundant number, since it is smaller than the sum of its proper divisors (285872400).

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

99102960 is a wasteful number, since it uses less digits than its factorization.

99102960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 99102960 is about 9955.0469612152. The cubic root of 99102960 is about 462.7668156090.

The spelling of 99102960 in words is "ninety-nine million, one hundred two thousand, nine hundred sixty".