108336013968 has 640 divisors, whose sum is σ = 396454625280. Its totient is φ = 24644321280.

The previous prime is 108336013967. The next prime is 108336014057. The reversal of 108336013968 is 869310633801.

It is a happy number.

108336013968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108336013968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (108336013967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43735546 + ... + 43738022.

It is an arithmetic number, because the mean of its divisors is an integer number (619460352).

Almost surely, 2^108336013968 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 108336013968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198227312640).

108336013968 is an abundant number, since it is smaller than the sum of its proper divisors (288118611312).

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

108336013968 is a wasteful number, since it uses less digits than its factorization.

108336013968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 108336013968 in words is "one hundred eight billion, three hundred thirty-six million, thirteen thousand, nine hundred sixty-eight".