189413100 has 216 divisors, whose sum is σ = 637823760. Its totient is φ = 48211200.

The previous prime is 189413083. The next prime is 189413111. The reversal of 189413100 is 1314981.

It is a super-2 number, since 2×189413100² = 71754644903220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2594664 + ... + 2594736.

Almost surely, 2^189413100 is an apocalyptic number.

189413100 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 189413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318911880).

189413100 is an abundant number, since it is smaller than the sum of its proper divisors (448410660).

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

189413100 is a wasteful number, since it uses less digits than its factorization.

189413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 189413100 is about 13762.7431858623. The cubic root of 189413100 is about 574.2971626779.

The spelling of 189413100 in words is "one hundred eighty-nine million, four hundred thirteen thousand, one hundred".