166105153600 has 189 divisors, whose sum is σ = 428232328573. Its totient is φ = 63409815040.

The previous prime is 166105153589. The next prime is 166105153601. The reversal of 166105153600 is 6351501661.

The square root of 166105153600 is 407560.

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

It can be written as a sum of positive squares in only one way, i.e., 59797855296 + 106307298304 = 244536^2 + 326048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166105153601) 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 26 ways as a sum of consecutive naturals, for example, 374954979 + ... + 374955421.

Almost surely, 2^166105153600 is an apocalyptic number.

166105153600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166105153600 is the 407560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166105153600

166105153600 is an abundant number, since it is smaller than the sum of its proper divisors (262127174973).

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

166105153600 is an frugal number, since it uses more digits than its factorization.

166105153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 166105153600 in words is "one hundred sixty-six billion, one hundred five million, one hundred fifty-three thousand, six hundred".