108288381184 has 81 divisors (see below), whose sum is σ = 219212587461. Its totient is φ = 53388641280.

The previous prime is 108288381167. The next prime is 108288381241. The reversal of 108288381184 is 481183882801.

The square root of 108288381184 is 329072.

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., 31740985600 + 76547395584 = 178160^2 + 276672^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 689734834 + ... + 689734990.

Almost surely, 2^108288381184 is an apocalyptic number.

108288381184 is the 329072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108288381184

108288381184 is an abundant number, since it is smaller than the sum of its proper divisors (110924206277).

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

108288381184 is an frugal number, since it uses more digits than its factorization.

108288381184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 52.

The spelling of 108288381184 in words is "one hundred eight billion, two hundred eighty-eight million, three hundred eighty-one thousand, one hundred eighty-four".