108684960384 has 768 divisors, whose sum is σ = 407579074560. Its totient is φ = 25198387200.

The previous prime is 108684960367. The next prime is 108684960401. The reversal of 108684960384 is 483069486801.

It is an interprime number because it is at equal distance from previous prime (108684960367) and next prime (108684960401).

It is a super-2 number, since 2×108684960384² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83410677 + ... + 83411979.

It is an arithmetic number, because the mean of its divisors is an integer number (530701920).

Almost surely, 2^108684960384 is an apocalyptic number.

108684960384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108684960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203789537280).

108684960384 is an abundant number, since it is smaller than the sum of its proper divisors (298894114176).

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

108684960384 is a wasteful number, since it uses less digits than its factorization.

108684960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 108684960384 in words is "one hundred eight billion, six hundred eighty-four million, nine hundred sixty thousand, three hundred eighty-four".