166101400 has 48 divisors (see below), whose sum is σ = 402987600. Its totient is φ = 63550080.

The previous prime is 166101367. The next prime is 166101409. The reversal of 166101400 is 4101661.

It is a happy number.

166101400 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166101409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13455 + ... + 22654.

It is an arithmetic number, because the mean of its divisors is an integer number (8395575).

Almost surely, 2^166101400 is an apocalyptic number.

166101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166101400 is an abundant number, since it is smaller than the sum of its proper divisors (236886200).

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

166101400 is a wasteful number, since it uses less digits than its factorization.

166101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36148 (or 36139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 166101400 is about 12888.0332091441. The cubic root of 166101400 is about 549.6983469823.

The spelling of 166101400 in words is "one hundred sixty-six million, one hundred one thousand, four hundred".