108953130720 has 1152 divisors, whose sum is σ = 440820817920. Its totient is φ = 22481141760.

The previous prime is 108953130701. The next prime is 108953130731. The reversal of 108953130720 is 27031359801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224192436 + ... + 1224192524.

It is an arithmetic number, because the mean of its divisors is an integer number (382656960).

Almost surely, 2^108953130720 is an apocalyptic number.

108953130720 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 108953130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220410408960).

108953130720 is an abundant number, since it is smaller than the sum of its proper divisors (331867687200).

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

108953130720 is a wasteful number, since it uses less digits than its factorization.

108953130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 108953130720 in words is "one hundred eight billion, nine hundred fifty-three million, one hundred thirty thousand, seven hundred twenty".