166100800 has 42 divisors (see below), whose sum is σ = 408715718. Its totient is φ = 66439680.

The previous prime is 166100791. The next prime is 166100801. The reversal of 166100800 is 8001661.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 166100544 = 16^2 + 12888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166100801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50307 + ... + 53506.

Almost surely, 2^166100800 is an apocalyptic number.

166100800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166100800 is an abundant number, since it is smaller than the sum of its proper divisors (242614918).

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

166100800 is a wasteful number, since it uses less digits than its factorization.

166100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103835 (or 103820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 166100800 is about 12888.0099317156. The cubic root of 166100800 is about 549.6976850987.

The spelling of 166100800 in words is "one hundred sixty-six million, one hundred thousand, eight hundred".