189100 has 36 divisors (see below), whose sum is σ = 430528. Its totient is φ = 72000.

The previous prime is 189067. The next prime is 189127. The reversal of 189100 is 1981.

189100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3070 + ... + 3130.

2¹⁸⁹¹⁰⁰ is an apocalyptic number.

189100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215264).

189100 is an abundant number, since it is smaller than the sum of its proper divisors (241428).

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

189100 is a wasteful number, since it uses less digits than its factorization.

189100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 189100 is about 434.8562981032. The cubic root of 189100 is about 57.3980550276.

It can be divided in two parts, 189 and 100, that added together give a square (289 = 17²).

The spelling of 189100 in words is "one hundred eighty-nine thousand, one hundred".