166668100 has 27 divisors (see below), whose sum is σ = 361950141. Its totient is φ = 66615600.

The previous prime is 166668083. The next prime is 166668101. The reversal of 166668100 is 1866661.

The square root of 166668100 is 12910.

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

It can be written as a sum of positive squares in only one way, i.e., 60000516 + 106667584 = 7746^2 + 10328^2 .

It is a super-2 number, since 2×166668100² = 55556511115220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166668101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128455 + ... + 129745.

Almost surely, 2^166668100 is an apocalyptic number.

166668100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166668100 is the 12910-th square number.

It is an amenable number.

166668100 is an abundant number, since it is smaller than the sum of its proper divisors (195282041).

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

166668100 is an equidigital number, since it uses as much as digits as its factorization.

166668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 166668100 is about 550.3227857320.

The spelling of 166668100 in words is "one hundred sixty-six million, six hundred sixty-eight thousand, one hundred".