107717261904 has 480 divisors, whose sum is σ = 365306333184. Its totient is φ = 28983951360.

The previous prime is 107717261893. The next prime is 107717261923. The reversal of 107717261904 is 409162717701.

107717261904 is a `hidden beast` number, since 10 + 7 + 7 + 17 + 2 + 619 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107717261904.

It is a congruent number.

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, 319635624 + ... + 319635960.

Almost surely, 2^107717261904 is an apocalyptic number.

107717261904 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 107717261904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182653166592).

107717261904 is an abundant number, since it is smaller than the sum of its proper divisors (257589071280).

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

107717261904 is a wasteful number, since it uses less digits than its factorization.

107717261904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 107717261904 in words is "one hundred seven billion, seven hundred seventeen million, two hundred sixty-one thousand, nine hundred four".