166644100 has 108 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 56212800.

The previous prime is 166644083. The next prime is 166644161. The reversal of 166644100 is 1446661.

166644100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347661 + ... + 348139.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^166644100 is an apocalyptic number.

166644100 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 166644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

166644100 is an abundant number, since it is smaller than the sum of its proper divisors (260828540).

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

166644100 is a wasteful number, since it uses less digits than its factorization.

166644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 166644100 is about 12909.0704545292. The cubic root of 166644100 is about 550.2963691975.

The spelling of 166644100 in words is "one hundred sixty-six million, six hundred forty-four thousand, one hundred".