189419100 has 144 divisors (see below), whose sum is σ = 625147488. Its totient is φ = 43868160.

The previous prime is 189419089. The next prime is 189419101. The reversal of 189419100 is 1914981.

189419100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189419101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64872 + ... + 67728.

It is an arithmetic number, because the mean of its divisors is an integer number (4341302).

Almost surely, 2^189419100 is an apocalyptic number.

189419100 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 189419100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312573744).

189419100 is an abundant number, since it is smaller than the sum of its proper divisors (435728388).

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

189419100 is a wasteful number, since it uses less digits than its factorization.

189419100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 189419100 is about 13762.9611639356. The cubic root of 189419100 is about 574.3032265785.

The spelling of 189419100 in words is "one hundred eighty-nine million, four hundred nineteen thousand, one hundred".