108933675840 has 672 divisors, whose sum is σ = 433730643840. Its totient is φ = 24816844800.

The previous prime is 108933675817. The next prime is 108933675847. The reversal of 108933675840 is 48576339801.

108933675840 is a `hidden beast` number, since 108 + 93 + 367 + 58 + 40 = 666.

108933675840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108933675847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82462380 + ... + 82463700.

Almost surely, 2^108933675840 is an apocalyptic number.

108933675840 is a gapful number since it is divisible by the number (10) 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 108933675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216865321920).

108933675840 is an abundant number, since it is smaller than the sum of its proper divisors (324796968000).

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

108933675840 is a wasteful number, since it uses less digits than its factorization.

108933675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 108933675840 in words is "one hundred eight billion, nine hundred thirty-three million, six hundred seventy-five thousand, eight hundred forty".