89882100 has 216 divisors, whose sum is σ = 351519168. Its totient is φ = 18662400.

The previous prime is 89882099. The next prime is 89882101. The reversal of 89882100 is 128898.

It is an interprime number because it is at equal distance from previous prime (89882099) and next prime (89882101).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89882101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68652 + ... + 69948.

Almost surely, 2^89882100 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 89882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175759584).

89882100 is an abundant number, since it is smaller than the sum of its proper divisors (261637068).

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

89882100 is a wasteful number, since it uses less digits than its factorization.

89882100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 89882100 is about 9480.6170685246. The cubic root of 89882100 is about 447.9447011358.

The spelling of 89882100 in words is "eighty-nine million, eight hundred eighty-two thousand, one hundred".