190164100 has 81 divisors (see below), whose sum is σ = 482477583. Its totient is φ = 64868160.

The previous prime is 190164077. The next prime is 190164131. The reversal of 190164100 is 1461091.

The square root of 190164100 is 13790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43850884 + 146313216 = 6622^2 + 12096^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 965202 + ... + 965398.

Almost surely, 2^190164100 is an apocalyptic number.

190164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190164100 is the 13790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190164100

190164100 is an abundant number, since it is smaller than the sum of its proper divisors (292313483).

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

190164100 is a wasteful number, since it uses less digits than its factorization.

190164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The cubic root of 190164100 is about 575.0551679897.

The spelling of 190164100 in words is "one hundred ninety million, one hundred sixty-four thousand, one hundred".