89189100 has 540 divisors, whose sum is σ = 391124272. Its totient is φ = 17107200.

The previous prime is 89189083. The next prime is 89189117. The reversal of 89189100 is 198198.

It is an interprime number because it is at equal distance from previous prime (89189083) and next prime (89189117).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6860694 + ... + 6860706.

Almost surely, 2^89189100 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 89189100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195562136).

89189100 is an abundant number, since it is smaller than the sum of its proper divisors (301935172).

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

89189100 is a wasteful number, since it uses less digits than its factorization.

89189100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 89189100 is about 9443.9980940278. The cubic root of 89189100 is about 446.7904968421.

Adding to 89189100 its sum of digits (36), we get a square (89189136 = 9444²).

It can be divided in two parts, 891 and 89100, that multiplied together give a square (79388100 = 8910²).

The spelling of 89189100 in words is "eighty-nine million, one hundred eighty-nine thousand, one hundred".