166202100 has 54 divisors (see below), whose sum is σ = 520954070. Its totient is φ = 44320320.

The previous prime is 166202089. The next prime is 166202107. The reversal of 166202100 is 1202661.

It is a happy number.

166202100 is a `hidden beast` number, since 1 + 662 + 0 + 2 + 1 + 0 + 0 = 666.

166202100 is digitally balanced in base 3, 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 3 ways, for example, as 1028196 + 165173904 = 1014^2 + 12852^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91435 + ... + 93234.

Almost surely, 2^166202100 is an apocalyptic number.

166202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166202100 is an abundant number, since it is smaller than the sum of its proper divisors (354751970).

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

166202100 is a wasteful number, since it uses less digits than its factorization.

166202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184689 (or 184679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166202100 is about 12891.9393420850. The cubic root of 166202100 is about 549.8094105474.

Adding to 166202100 its reverse (1202661), we get a palindrome (167404761).

The spelling of 166202100 in words is "one hundred sixty-six million, two hundred two thousand, one hundred".