108138116416 has 84 divisors (see below), whose sum is σ = 241890986880. Its totient is φ = 47567788800.

The previous prime is 108138116413. The next prime is 108138116423. The reversal of 108138116416 is 614611831801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108138116413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596625 + ... + 756463.

Almost surely, 2^108138116416 is an apocalyptic number.

108138116416 is a gapful number since it is divisible by the number (16) 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 108138116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120945493440).

108138116416 is an abundant number, since it is smaller than the sum of its proper divisors (133752870464).

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

108138116416 is a wasteful number, since it uses less digits than its factorization.

108138116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159924 (or 159883 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 108138116416 in words is "one hundred eight billion, one hundred thirty-eight million, one hundred sixteen thousand, four hundred sixteen".