166474100 has 72 divisors (see below), whose sum is σ = 399667128. Its totient is φ = 59788800.

The previous prime is 166474097. The next prime is 166474109. The reversal of 166474100 is 1474661.

166474100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 63329764 + 103144336 = 7958^2 + 10156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166474109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46370 + ... + 49830.

Almost surely, 2^166474100 is an apocalyptic number.

166474100 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 166474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199833564).

166474100 is an abundant number, since it is smaller than the sum of its proper divisors (233193028).

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

166474100 is a wasteful number, since it uses less digits than its factorization.

166474100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 166474100 is about 12902.4842569173. The cubic root of 166474100 is about 550.1091794275.

The spelling of 166474100 in words is "one hundred sixty-six million, four hundred seventy-four thousand, one hundred".