107316952704 has 512 divisors, whose sum is σ = 364379904000. Its totient is φ = 30841896960.

The previous prime is 107316952667. The next prime is 107316952753. The reversal of 107316952704 is 407259613701.

107316952704 is a `hidden beast` number, since 107 + 3 + 16 + 9 + 527 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107316952704.

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, 40388944 + ... + 40391600.

It is an arithmetic number, because the mean of its divisors is an integer number (711679500).

Almost surely, 2^107316952704 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 107316952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182189952000).

107316952704 is an abundant number, since it is smaller than the sum of its proper divisors (257062951296).

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

107316952704 is a wasteful number, since it uses less digits than its factorization.

107316952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 107316952704 in words is "one hundred seven billion, three hundred sixteen million, nine hundred fifty-two thousand, seven hundred four".