107337472704 has 560 divisors, whose sum is σ = 400495983360. Its totient is φ = 27612887040.

The previous prime is 107337472703. The next prime is 107337472721. The reversal of 107337472704 is 407274733701.

107337472704 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 374 + 7 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107337472704.

It is not an unprimeable number, because it can be changed into a prime (107337472703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43508079 + ... + 43510545.

Almost surely, 2^107337472704 is an apocalyptic number.

107337472704 is a gapful number since it is divisible by the number (14) 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 107337472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200247991680).

107337472704 is an abundant number, since it is smaller than the sum of its proper divisors (293158510656).

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

107337472704 is a wasteful number, since it uses less digits than its factorization.

107337472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 107337472704 in words is "one hundred seven billion, three hundred thirty-seven million, four hundred seventy-two thousand, seven hundred four".