108803284385616 has 240 divisors, whose sum is σ = 306832678326720. Its totient is φ = 35990564413440.

The previous prime is 108803284385573. The next prime is 108803284385623. The reversal of 108803284385616 is 616583482308801.

108803284385616 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 3 + 2 + 8 + 4 + 3 + 8 + 5 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52284133696 + ... + 52284135776.

It is an arithmetic number, because the mean of its divisors is an integer number (1278469493028).

Almost surely, 2^{108803284385616} is an apocalyptic number.

108803284385616 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 108803284385616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153416339163360).

108803284385616 is an abundant number, since it is smaller than the sum of its proper divisors (198029393941104).

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

108803284385616 is a wasteful number, since it uses less digits than its factorization.

108803284385616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 108803284385616 in words is "one hundred eight trillion, eight hundred three billion, two hundred eighty-four million, three hundred eighty-five thousand, six hundred sixteen".