107117830674 has 48 divisors (see below), whose sum is σ = 240975745920. Its totient is φ = 35662738320.

The previous prime is 107117830649. The next prime is 107117830691. The reversal of 107117830674 is 476038711701.

107117830674 is a `hidden beast` number, since 107 + 1 + 178 + 306 + 74 = 666.

It is a super-2 number, since 2×107117830674² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269959 + ... + 535829.

It is an arithmetic number, because the mean of its divisors is an integer number (5020328040).

Almost surely, 2^107117830674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107117830674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120487872960).

107117830674 is an abundant number, since it is smaller than the sum of its proper divisors (133857915246).

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

107117830674 is an equidigital number, since it uses as much as digits as its factorization.

107117830674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266717 (or 266705 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 107117830674 in words is "one hundred seven billion, one hundred seventeen million, eight hundred thirty thousand, six hundred seventy-four".