107613307620 has 768 divisors, whose sum is σ = 435977256960. Its totient is φ = 21424435200.

The previous prime is 107613307577. The next prime is 107613307759. The reversal of 107613307620 is 26703316701.

107613307620 is a `hidden beast` number, since 1 + 0 + 7 + 613 + 30 + 7 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62456079 + ... + 62457801.

It is an arithmetic number, because the mean of its divisors is an integer number (567678720).

Almost surely, 2^107613307620 is an apocalyptic number.

107613307620 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 107613307620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217988628480).

107613307620 is an abundant number, since it is smaller than the sum of its proper divisors (328363949340).

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

107613307620 is a wasteful number, since it uses less digits than its factorization.

107613307620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 107613307620 in words is "one hundred seven billion, six hundred thirteen million, three hundred seven thousand, six hundred twenty".