108816101824 has 112 divisors (see below), whose sum is σ = 224088935616. Its totient is φ = 52391116800.

The previous prime is 108816101819. The next prime is 108816101881. The reversal of 108816101824 is 428101618801.

It is a super-2 number, since 2×108816101824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 123513864 + ... + 123514744.

It is an arithmetic number, because the mean of its divisors is an integer number (2000794068).

Almost surely, 2^108816101824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108816101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112044467808).

108816101824 is an abundant number, since it is smaller than the sum of its proper divisors (115272833792).

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

108816101824 is a wasteful number, since it uses less digits than its factorization.

108816101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The spelling of 108816101824 in words is "one hundred eight billion, eight hundred sixteen million, one hundred one thousand, eight hundred twenty-four".