108393709824 has 189 divisors, whose sum is σ = 329888330863. Its totient is φ = 34229592576.

The previous prime is 108393709817. The next prime is 108393709829. The reversal of 108393709824 is 428907393801.

The square root of 108393709824 is 329232.

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

108393709824 is a `hidden beast` number, since 108 + 393 + 70 + 9 + 82 + 4 = 666.

It is a super-2 number, since 2×108393709824² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108393709829) 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 20 ways as a sum of consecutive naturals, for example, 5704932087 + ... + 5704932105.

Almost surely, 2^108393709824 is an apocalyptic number.

108393709824 is the 329232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108393709824

108393709824 is an abundant number, since it is smaller than the sum of its proper divisors (221494621039).

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

108393709824 is an frugal number, since it uses more digits than its factorization.

108393709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 108393709824 in words is "one hundred eight billion, three hundred ninety-three million, seven hundred nine thousand, eight hundred twenty-four".