89945100 has 144 divisors (see below), whose sum is σ = 330534400. Its totient is φ = 20554560.

The previous prime is 89945099. The next prime is 89945123. The reversal of 89945100 is 154998.

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 47 ways as a sum of consecutive naturals, for example, 16521 + ... + 21279.

Almost surely, 2^89945100 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 89945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165267200).

89945100 is an abundant number, since it is smaller than the sum of its proper divisors (240589300).

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

89945100 is a wasteful number, since it uses less digits than its factorization.

89945100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89945100 is about 9483.9390550551. The cubic root of 89945100 is about 448.0493342248.

The spelling of 89945100 in words is "eighty-nine million, nine hundred forty-five thousand, one hundred".