107496031803264 has 768 divisors, whose sum is σ = 348244682385600. Its totient is φ = 32810469949440.

The previous prime is 107496031803253. The next prime is 107496031803271. The reversal of 107496031803264 is 462308130694701.

107496031803264 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 9 + 60 + 318 + 0 + 3 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107496031803264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30357533334 + ... + 30357536874.

Almost surely, 2^{107496031803264} 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 107496031803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174122341192800).

107496031803264 is an abundant number, since it is smaller than the sum of its proper divisors (240748650582336).

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

107496031803264 is a wasteful number, since it uses less digits than its factorization.

107496031803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 107496031803264 in words is "one hundred seven trillion, four hundred ninety-six billion, thirty-one million, eight hundred three thousand, two hundred sixty-four".