108091689189120 has 864 divisors, whose sum is σ = 475138664792064. Its totient is φ = 22070469427200.

The previous prime is 108091689189073. The next prime is 108091689189137. The reversal of 108091689189120 is 21981986190801.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30834865 + ... + 34160975.

It is an arithmetic number, because the mean of its divisors is an integer number (549929010176).

Almost surely, 2^{108091689189120} is an apocalyptic number.

108091689189120 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 108091689189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237569332396032).

108091689189120 is an abundant number, since it is smaller than the sum of its proper divisors (367046975602944).

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

108091689189120 is a wasteful number, since it uses less digits than its factorization.

108091689189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326189 (or 3326172 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 63.

The spelling of 108091689189120 in words is "one hundred eight trillion, ninety-one billion, six hundred eighty-nine million, one hundred eighty-nine thousand, one hundred twenty".