89398100 has 72 divisors (see below), whose sum is σ = 214965408. Its totient is φ = 31996800.

The previous prime is 89398091. The next prime is 89398147. The reversal of 89398100 is 189398.

It is a super-2 number, since 2×89398100² = 15984040567220000, which contains 22 as substring.

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, 73094 + ... + 74306.

Almost surely, 2^89398100 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 89398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107482704).

89398100 is an abundant number, since it is smaller than the sum of its proper divisors (125567308).

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

89398100 is a wasteful number, since it uses less digits than its factorization.

89398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 89398100 is about 9455.0568480576. The cubic root of 89398100 is about 447.1392179640.

It can be divided in two parts, 89398 and 100, that added together give a palindrome (89498).

The spelling of 89398100 in words is "eighty-nine million, three hundred ninety-eight thousand, one hundred".