89800100 has 72 divisors (see below), whose sum is σ = 213194688. Its totient is φ = 32630400.

The previous prime is 89800079. The next prime is 89800133. The reversal of 89800100 is 100898.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 89800100.

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, 86585 + ... + 87615.

Almost surely, 2^89800100 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 89800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106597344).

89800100 is an abundant number, since it is smaller than the sum of its proper divisors (123394588).

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

89800100 is a wasteful number, since it uses less digits than its factorization.

89800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 89800100 is about 9476.2914687129. The cubic root of 89800100 is about 447.8084387755.

Adding to 89800100 its reverse (100898), we get a palindrome (89900998).

The spelling of 89800100 in words is "eighty-nine million, eight hundred thousand, one hundred".