108636160000 has 225 divisors, whose sum is σ = 274156672251. Its totient is φ = 43032576000.

The previous prime is 108636159977. The next prime is 108636160013. The reversal of 108636160000 is 61636801.

The square root of 108636160000 is 329600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8517074944 + 100119085056 = 92288^2 + 316416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1054719949 + ... + 1054720051.

Almost surely, 2^108636160000 is an apocalyptic number.

108636160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108636160000 is the 329600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108636160000

108636160000 is an abundant number, since it is smaller than the sum of its proper divisors (165520512251).

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

108636160000 is an frugal number, since it uses more digits than its factorization.

108636160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 108636160000 by its product of nonzero digits (5184), we get a square (563169853440000 = 23731200²).

Adding to 108636160000 its reverse (61636801), we get a palindrome (108697796801).

The spelling of 108636160000 in words is "one hundred eight billion, six hundred thirty-six million, one hundred sixty thousand".