188900 has 18 divisors (see below), whose sum is σ = 410130. Its totient is φ = 75520.

The previous prime is 188891. The next prime is 188911. The reversal of 188900 is 9881.

188900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 178084 = 104^2 + 422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 188900.

It is an unprimeable number.

188900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 845 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2¹⁸⁸⁹⁰⁰ is an apocalyptic number.

188900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188900 is an abundant number, since it is smaller than the sum of its proper divisors (221230).

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

188900 is a wasteful number, since it uses less digits than its factorization.

188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 188900 is about 434.6262762420. The cubic root of 188900 is about 57.3778123686.

The spelling of 188900 in words is "one hundred eighty-eight thousand, nine hundred".