89700100 has 72 divisors (see below), whose sum is σ = 224430080. Its totient is φ = 30481920.

The previous prime is 89700089. The next prime is 89700101. The reversal of 89700100 is 100798.

It is a super-2 number, since 2×89700100² = 16092215880020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (89700101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88396 + ... + 89404.

Almost surely, 2^89700100 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 89700100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112215040).

89700100 is an abundant number, since it is smaller than the sum of its proper divisors (134729980).

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

89700100 is a wasteful number, since it uses less digits than its factorization.

89700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 89700100 is about 9471.0136733087. The cubic root of 89700100 is about 447.6421528561.

Adding to 89700100 its reverse (100798), we get a palindrome (89800898).

The spelling of 89700100 in words is "eighty-nine million, seven hundred thousand, one hundred".