108117884160 has 1152 divisors, whose sum is σ = 456903659520. Its totient is φ = 23865753600.

The previous prime is 108117884137. The next prime is 108117884177. The reversal of 108117884160 is 61488711801.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 647412397 + ... + 647412563.

It is an arithmetic number, because the mean of its divisors is an integer number (396617760).

Almost surely, 2^108117884160 is an apocalyptic number.

108117884160 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 108117884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228451829760).

108117884160 is an abundant number, since it is smaller than the sum of its proper divisors (348785775360).

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

108117884160 is a wasteful number, since it uses less digits than its factorization.

108117884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 108117884160 in words is "one hundred eight billion, one hundred seventeen million, eight hundred eighty-four thousand, one hundred sixty".