89108100 has 216 divisors, whose sum is σ = 306473440. Its totient is φ = 22394880.

The previous prime is 89108087. The next prime is 89108111. The reversal of 89108100 is 180198.

It is a super-2 number, since 2×89108100² = 15880506971220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461604 + ... + 461796.

Almost surely, 2^89108100 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 89108100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153236720).

89108100 is an abundant number, since it is smaller than the sum of its proper divisors (217365340).

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

89108100 is a wasteful number, since it uses less digits than its factorization.

89108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 89108100 is about 9439.7086819456. The cubic root of 89108100 is about 446.6552000720.

Adding to 89108100 its reverse (180198), we get a palindrome (89288298).

The spelling of 89108100 in words is "eighty-nine million, one hundred eight thousand, one hundred".