89100 has 90 divisors (see below), whose sum is σ = 315084. Its totient is φ = 21600.

The previous prime is 89087. The next prime is 89101. The reversal of 89100 is 198.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (89101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8095 + ... + 8105.

2⁸⁹¹⁰⁰ 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 89100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157542).

89100 is an abundant number, since it is smaller than the sum of its proper divisors (225984).

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

89100 is a wasteful number, since it uses less digits than its factorization.

89100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 89100 is about 298.4962311320. The cubic root of 89100 is about 44.6641665886.

89100 divided by its sum of digits (18) gives a triangular number (4950 = T₉₉).

Adding to 89100 its reverse (198), we get a palindrome (89298).

The spelling of 89100 in words is "eighty-nine thousand, one hundred".