108978508800 has 990 divisors, whose sum is σ = 457510628718. Its totient is φ = 24782929920.

The previous prime is 108978508711. The next prime is 108978508813. The reversal of 108978508800 is 8805879801.

It can be written as a sum of positive squares in 3 ways, for example, as 31952277504 + 77026231296 = 178752^2 + 277536^2 .

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 553190302 + ... + 553190498.

Almost surely, 2^108978508800 is an apocalyptic number.

108978508800 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 108978508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228755314359).

108978508800 is an abundant number, since it is smaller than the sum of its proper divisors (348532119918).

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

108978508800 is an equidigital number, since it uses as much as digits as its factorization.

108978508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 108978508800 in words is "one hundred eight billion, nine hundred seventy-eight million, five hundred eight thousand, eight hundred".