189100800 has 486 divisors, whose sum is σ = 798196308. Its totient is φ = 42577920.

The previous prime is 189100789. The next prime is 189100801. The reversal of 189100800 is 8001981.

It is a super-2 number, since 2×189100800² = 71518225121280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822367 + ... + 2822433.

Almost surely, 2^189100800 is an apocalyptic number.

189100800 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 189100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399098154).

189100800 is an abundant number, since it is smaller than the sum of its proper divisors (609095508).

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

189100800 is a wasteful number, since it uses less digits than its factorization.

189100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 189100800 is about 13751.3926567457. The cubic root of 189100800 is about 573.9813596961.

The spelling of 189100800 in words is "one hundred eighty-nine million, one hundred thousand, eight hundred".