104917668096 has 144 divisors (see below), whose sum is σ = 290487556800. Its totient is φ = 33576689664.

The previous prime is 104917668083. The next prime is 104917668109. The reversal of 104917668096 is 690866719401.

It is an interprime number because it is at equal distance from previous prime (104917668083) and next prime (104917668109).

It is a super-2 number, since 2×104917668096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973530 + ... + 3999846.

It is an arithmetic number, because the mean of its divisors is an integer number (2017274700).

Almost surely, 2^104917668096 is an apocalyptic number.

104917668096 is a gapful number since it is divisible by the number (16) 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 104917668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145243778400).

104917668096 is an abundant number, since it is smaller than the sum of its proper divisors (185569888704).

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

104917668096 is a wasteful number, since it uses less digits than its factorization.

104917668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 104917668096 in words is "one hundred four billion, nine hundred seventeen million, six hundred sixty-eight thousand, ninety-six".