108078624000 has 1008 divisors, whose sum is σ = 417176467344. Its totient is φ = 27869184000.

The previous prime is 108078623999. The next prime is 108078624019. The reversal of 108078624000 is 426870801.

It can be written as a sum of positive squares in 8 ways, for example, as 94873856256 + 13204767744 = 308016^2 + 114912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 956447944 + ... + 956448056.

It is an arithmetic number, because the mean of its divisors is an integer number (413865543).

Almost surely, 2^108078624000 is an apocalyptic number.

108078624000 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 108078624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208588233672).

108078624000 is an abundant number, since it is smaller than the sum of its proper divisors (309097843344).

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

108078624000 is an frugal number, since it uses more digits than its factorization.

108078624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 108078624000 in words is "one hundred eight billion, seventy-eight million, six hundred twenty-four thousand".