166624100 has 36 divisors (see below), whose sum is σ = 363911604. Its totient is φ = 66218880.

The previous prime is 166624099. The next prime is 166624147. The reversal of 166624100 is 1426661.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2579236 + 164044864 = 1606^2 + 12808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166624100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10394 + ... + 21006.

Almost surely, 2^166624100 is an apocalyptic number.

166624100 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 166624100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181955802).

166624100 is an abundant number, since it is smaller than the sum of its proper divisors (197287504).

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

166624100 is a wasteful number, since it uses less digits than its factorization.

166624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 166624100 is about 12908.2957821705. The cubic root of 166624100 is about 550.2743534811.

The spelling of 166624100 in words is "one hundred sixty-six million, six hundred twenty-four thousand, one hundred".