99892100 has 72 divisors (see below), whose sum is σ = 270274368. Its totient is φ = 31132800.

The previous prime is 99892099. The next prime is 99892123. The reversal of 99892100 is 129899.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214 + ... + 14186.

Almost surely, 2^99892100 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 99892100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135137184).

99892100 is an abundant number, since it is smaller than the sum of its proper divisors (170382268).

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

99892100 is a wasteful number, since it uses less digits than its factorization.

99892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 12998 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 99892100 is about 9994.6035439131. The cubic root of 99892100 is about 463.9918808032.

The spelling of 99892100 in words is "ninety-nine million, eight hundred ninety-two thousand, one hundred".