107316475934976 has 1728 divisors, whose sum is σ = 428083126087680. Its totient is φ = 25863531724800.

The previous prime is 107316475934971. The next prime is 107316475935077. The reversal of 107316475934976 is 679439574613701.

107316475934976 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 1 + 6 + 47 + 5 + 93 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (107316475934971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7066330455 + ... + 7066345641.

It is an arithmetic number, because the mean of its divisors is an integer number (247733290560).

Almost surely, 2^{107316475934976} is an apocalyptic number.

107316475934976 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 107316475934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214041563043840).

107316475934976 is an abundant number, since it is smaller than the sum of its proper divisors (320766650152704).

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

107316475934976 is a wasteful number, since it uses less digits than its factorization.

107316475934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 107316475934976 in words is "one hundred seven trillion, three hundred sixteen billion, four hundred seventy-five million, nine hundred thirty-four thousand, nine hundred seventy-six".