108822091034160 has 2240 divisors, whose sum is σ = 460114806767616. Its totient is φ = 23399402342400.

The previous prime is 108822091034159. The next prime is 108822091034161. The reversal of 108822091034160 is 61430190228801.

108822091034160 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 220 + 9 + 1 + 0 + 3 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108822091034159) and next prime (108822091034161).

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

It is not an unprimeable number, because it can be changed into a prime (108822091034161) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 169241198799 + ... + 169241199441.

Almost surely, 2^{108822091034160} is an apocalyptic number.

108822091034160 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 108822091034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230057403383808).

108822091034160 is an abundant number, since it is smaller than the sum of its proper divisors (351292715733456).

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

108822091034160 is a wasteful number, since it uses less digits than its factorization.

108822091034160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 108822091034160 in words is "one hundred eight trillion, eight hundred twenty-two billion, ninety-one million, thirty-four thousand, one hundred sixty".