166308996100 has 81 divisors (see below), whose sum is σ = 390911390877. Its totient is φ = 61386823680.

The previous prime is 166308996059. The next prime is 166308996103. The reversal of 166308996100 is 1699803661.

The square root of 166308996100 is 407810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 48160058116 + 118148937984 = 219454^2 + 343728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166308996103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53013732 + ... + 53016868.

Almost surely, 2^166308996100 is an apocalyptic number.

166308996100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166308996100 is the 407810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166308996100

166308996100 is an abundant number, since it is smaller than the sum of its proper divisors (224602394777).

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

166308996100 is an equidigital number, since it uses as much as digits as its factorization.

166308996100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 166308996100 by its sum of digits (49), we get a square (8149140808900 = 2854670²).

The spelling of 166308996100 in words is "one hundred sixty-six billion, three hundred eight million, nine hundred ninety-six thousand, one hundred".