190908900 has 540 divisors, whose sum is σ = 796217268. Its totient is φ = 39191040.

The previous prime is 190908869. The next prime is 190908911. The reversal of 190908900 is 9809091.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 188622756 = 1512^2 + 13734^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5159682 + ... + 5159718.

Almost surely, 2^190908900 is an apocalyptic number.

190908900 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 190908900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398108634).

190908900 is an abundant number, since it is smaller than the sum of its proper divisors (605308368).

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

190908900 is a wasteful number, since it uses less digits than its factorization.

190908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 190908900 is about 13816.9786856606. The cubic root of 190908900 is about 575.8049469768.

The spelling of 190908900 in words is "one hundred ninety million, nine hundred eight thousand, nine hundred".