108364506094080 has 960 divisors, whose sum is σ = 401085038914560. Its totient is φ = 26980172955648.

The previous prime is 108364506094073. The next prime is 108364506094093. The reversal of 108364506094080 is 80490605463801.

108364506094080 is a `hidden beast` number, since 10 + 8 + 3 + 6 + 4 + 506 + 0 + 9 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×108364506094080² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3752349081 + ... + 3752377959.

It is an arithmetic number, because the mean of its divisors is an integer number (417796915536).

Almost surely, 2^{108364506094080} is an apocalyptic number.

108364506094080 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 108364506094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200542519457280).

108364506094080 is an abundant number, since it is smaller than the sum of its proper divisors (292720532820480).

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

108364506094080 is a wasteful number, since it uses less digits than its factorization.

108364506094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29101 (or 29082 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 108364506094080 in words is "one hundred eight trillion, three hundred sixty-four billion, five hundred six million, ninety-four thousand, eighty".