189921300 has 72 divisors (see below), whose sum is σ = 551693856. Its totient is φ = 50444160.

The previous prime is 189921299. The next prime is 189921301. The reversal of 189921300 is 3129981.

It is an interprime number because it is at equal distance from previous prime (189921299) and next prime (189921301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189921301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83782 + ... + 86018.

Almost surely, 2^189921300 is an apocalyptic number.

189921300 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 189921300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275846928).

189921300 is an abundant number, since it is smaller than the sum of its proper divisors (361772556).

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

189921300 is a wasteful number, since it uses less digits than its factorization.

189921300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 189921300 is about 13781.1937073680. The cubic root of 189921300 is about 574.8103218098.

The spelling of 189921300 in words is "one hundred eighty-nine million, nine hundred twenty-one thousand, three hundred".