99108900 has 288 divisors, whose sum is σ = 359976960. Its totient is φ = 23184000.

The previous prime is 99108847. The next prime is 99108913. The reversal of 99108900 is 980199.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395865 + ... + 1395935.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^99108900 is an apocalyptic number.

99108900 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 99108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

99108900 is an abundant number, since it is smaller than the sum of its proper divisors (260868060).

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

99108900 is a wasteful number, since it uses less digits than its factorization.

99108900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 99108900 is about 9955.3452978789. The cubic root of 99108900 is about 462.7760611451.

The spelling of 99108900 in words is "ninety-nine million, one hundred eight thousand, nine hundred".