166152100 has 27 divisors (see below), whose sum is σ = 360829987. Its totient is φ = 66409280.

The previous prime is 166152071. The next prime is 166152113. The reversal of 166152100 is 1251661.

The square root of 166152100 is 12890.

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 6180196 + 159971904 = 2486^2 + 12648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128256 + ... + 129544.

Almost surely, 2^166152100 is an apocalyptic number.

166152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166152100 is the 12890-th square number.

It is an amenable number.

166152100 is an abundant number, since it is smaller than the sum of its proper divisors (194677887).

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

166152100 is an equidigital number, since it uses as much as digits as its factorization.

166152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The cubic root of 166152100 is about 549.7542703943.

The spelling of 166152100 in words is "one hundred sixty-six million, one hundred fifty-two thousand, one hundred".