166214100 has 288 divisors, whose sum is σ = 577463040. Its totient is φ = 36495360.

The previous prime is 166214093. The next prime is 166214143. The reversal of 166214100 is 1412661.

166214100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1524846 + ... + 1524954.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^166214100 is an apocalyptic number.

166214100 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 166214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

166214100 is an abundant number, since it is smaller than the sum of its proper divisors (411248940).

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

166214100 is a wasteful number, since it uses less digits than its factorization.

166214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 166214100 is about 12892.4047407766. The cubic root of 166214100 is about 549.8226425385.

Adding to 166214100 its reverse (1412661), we get a palindrome (167626761).

The spelling of 166214100 in words is "one hundred sixty-six million, two hundred fourteen thousand, one hundred".