107345638260 has 384 divisors, whose sum is σ = 386081418240. Its totient is φ = 24254650368.

The previous prime is 107345638247. The next prime is 107345638261. The reversal of 107345638260 is 62836543701.

107345638260 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 5 + 638 + 2 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107345638261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164388094 + ... + 164388746.

It is an arithmetic number, because the mean of its divisors is an integer number (1005420360).

Almost surely, 2^107345638260 is an apocalyptic number.

107345638260 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 107345638260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193040709120).

107345638260 is an abundant number, since it is smaller than the sum of its proper divisors (278735779980).

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

107345638260 is a wasteful number, since it uses less digits than its factorization.

107345638260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 107345638260 in words is "one hundred seven billion, three hundred forty-five million, six hundred thirty-eight thousand, two hundred sixty".