108109295937216 has 3360 divisors, whose sum is σ = 429172729989120. Its totient is φ = 25809651302400.

The previous prime is 108109295937173. The next prime is 108109295937217. The reversal of 108109295937216 is 612739592901801.

108109295937216 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 0 + 9 + 29 + 593 + 7 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (108109295937217) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 512366331351 + ... + 512366331561.

Almost surely, 2^{108109295937216} is an apocalyptic number.

108109295937216 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 108109295937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214586364994560).

108109295937216 is an abundant number, since it is smaller than the sum of its proper divisors (321063434051904).

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

108109295937216 is a wasteful number, since it uses less digits than its factorization.

108109295937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 108109295937216 in words is "one hundred eight trillion, one hundred nine billion, two hundred ninety-five million, nine hundred thirty-seven thousand, two hundred sixteen".