108151680160000 has 135 divisors (see below), whose sum is σ = 269775140033091. Its totient is φ = 43259008128000.

The previous prime is 108151680159973. The next prime is 108151680160009. The reversal of 108151680160000 is 61086151801.

The square root of 108151680160000 is 10399600.

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 8479091724544 + 99672588435456 = 2911888^2 + 9983616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108151680160009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4159827001 + ... + 4159852999.

Almost surely, 2^{108151680160000} is an apocalyptic number.

108151680160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108151680160000 is the 10399600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108151680160000

108151680160000 is an abundant number, since it is smaller than the sum of its proper divisors (161623459873091).

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

108151680160000 is an frugal number, since it uses more digits than its factorization.

108151680160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52034 (or 26006 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 108151680160000 in words is "one hundred eight trillion, one hundred fifty-one billion, six hundred eighty million, one hundred sixty thousand".