108041793216 has 448 divisors, whose sum is σ = 345199411200. Its totient is φ = 29178040320.

The previous prime is 108041793121. The next prime is 108041793227. The reversal of 108041793216 is 612397140801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 542923485 + ... + 542923683.

It is an arithmetic number, because the mean of its divisors is an integer number (770534400).

Almost surely, 2^108041793216 is an apocalyptic number.

108041793216 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 108041793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172599705600).

108041793216 is an abundant number, since it is smaller than the sum of its proper divisors (237157617984).

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

108041793216 is a wasteful number, since it uses less digits than its factorization.

108041793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 108041793216 in words is "one hundred eight billion, forty-one million, seven hundred ninety-three thousand, two hundred sixteen".