100717051968 has 896 divisors, whose sum is σ = 355031040000. Its totient is φ = 27715903488.

The previous prime is 100717051937. The next prime is 100717052021. The reversal of 100717051968 is 869150717001.

100717051968 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 70 + 519 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 977835405 + ... + 977835507.

It is an arithmetic number, because the mean of its divisors is an integer number (396240000).

Almost surely, 2^100717051968 is an apocalyptic number.

100717051968 is a gapful number since it is divisible by the number (18) 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 100717051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520000).

100717051968 is an abundant number, since it is smaller than the sum of its proper divisors (254313988032).

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

100717051968 is a wasteful number, since it uses less digits than its factorization.

100717051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

Adding to 100717051968 its reverse (869150717001), we get a palindrome (969867768969).

The spelling of 100717051968 in words is "one hundred billion, seven hundred seventeen million, fifty-one thousand, nine hundred sixty-eight".