104757017344 has 288 divisors, whose sum is σ = 259505455104. Its totient is φ = 41221509120.

The previous prime is 104757017327. The next prime is 104757017359. The reversal of 104757017344 is 443710757401.

It is a super-2 number, since 2×104757017344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104757017344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208264197 + ... + 208264699.

It is an arithmetic number, because the mean of its divisors is an integer number (901060608).

Almost surely, 2^104757017344 is an apocalyptic number.

104757017344 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 104757017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129752727552).

104757017344 is an abundant number, since it is smaller than the sum of its proper divisors (154748437760).

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

104757017344 is a wasteful number, since it uses less digits than its factorization.

104757017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 104757017344 in words is "one hundred four billion, seven hundred fifty-seven million, seventeen thousand, three hundred forty-four".