108093525408 has 480 divisors, whose sum is σ = 364194496512. Its totient is φ = 31131302400.

The previous prime is 108093525391. The next prime is 108093525413. The reversal of 108093525408 is 804525390801.

108093525408 is a `hidden beast` number, since 1 + 0 + 80 + 9 + 3 + 525 + 40 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125252785 + ... + 125253647.

Almost surely, 2^108093525408 is an apocalyptic number.

108093525408 is a gapful number since it is divisible by the number (18) 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 108093525408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182097248256).

108093525408 is an abundant number, since it is smaller than the sum of its proper divisors (256100971104).

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

108093525408 is a wasteful number, since it uses less digits than its factorization.

108093525408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 108093525408 in words is "one hundred eight billion, ninety-three million, five hundred twenty-five thousand, four hundred eight".