108293688720 has 960 divisors, whose sum is σ = 446846400000. Its totient is φ = 24361150464.

The previous prime is 108293688703. The next prime is 108293688731. The reversal of 108293688720 is 27886392801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726803206 + ... + 726803354.

It is an arithmetic number, because the mean of its divisors is an integer number (465465000).

Almost surely, 2^108293688720 is an apocalyptic number.

108293688720 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 108293688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200000).

108293688720 is an abundant number, since it is smaller than the sum of its proper divisors (338552711280).

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

108293688720 is a wasteful number, since it uses less digits than its factorization.

108293688720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 108293688720 in words is "one hundred eight billion, two hundred ninety-three million, six hundred eighty-eight thousand, seven hundred twenty".