107345707560 has 384 divisors, whose sum is σ = 443238082560. Its totient is φ = 21917952000.

The previous prime is 107345707559. The next prime is 107345707583. The reversal of 107345707560 is 65707543701.

107345707560 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 570 + 75 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962710 + ... + 1068410.

It is an arithmetic number, because the mean of its divisors is an integer number (1154265840).

Almost surely, 2^107345707560 is an apocalyptic number.

107345707560 is a gapful number since it is divisible by the number (10) 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 107345707560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221619041280).

107345707560 is an abundant number, since it is smaller than the sum of its proper divisors (335892375000).

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

107345707560 is a wasteful number, since it uses less digits than its factorization.

107345707560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105769 (or 105762 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 107345707560 in words is "one hundred seven billion, three hundred forty-five million, seven hundred seven thousand, five hundred sixty".