108761822208 has 264 divisors, whose sum is σ = 356012602400. Its totient is φ = 31703187456.

The previous prime is 108761822201. The next prime is 108761822261. The reversal of 108761822208 is 802228167801.

It is a happy number.

108761822208 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 618 + 2 + 2 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108761822201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252463 + ... + 2300241.

Almost surely, 2^108761822208 is an apocalyptic number.

108761822208 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 108761822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178006301200).

108761822208 is an abundant number, since it is smaller than the sum of its proper divisors (247250780192).

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

108761822208 is a wasteful number, since it uses less digits than its factorization.

108761822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47837 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 108761822208 in words is "one hundred eight billion, seven hundred sixty-one million, eight hundred twenty-two thousand, two hundred eight".