89995100 has 72 divisors (see below), whose sum is σ = 216111168. Its totient is φ = 32313600.

The previous prime is 89995097. The next prime is 89995111. The reversal of 89995100 is 159998.

It is a congruent number.

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, 47165 + ... + 49035.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^89995100 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 89995100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

89995100 is an abundant number, since it is smaller than the sum of its proper divisors (126116068).

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

89995100 is a wasteful number, since it uses less digits than its factorization.

89995100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 41.

The square root of 89995100 is about 9486.5747243144. The cubic root of 89995100 is about 448.1323415884.

The spelling of 89995100 in words is "eighty-nine million, nine hundred ninety-five thousand, one hundred".