104705675760 has 640 divisors, whose sum is σ = 400008683520. Its totient is φ = 22127136768.

The previous prime is 104705675713. The next prime is 104705675803. The reversal of 104705675760 is 67576507401.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 369984579 + ... + 369984861.

It is an arithmetic number, because the mean of its divisors is an integer number (625013568).

Almost surely, 2^104705675760 is an apocalyptic number.

104705675760 is a gapful number since it is divisible by the number (10) 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 104705675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200004341760).

104705675760 is an abundant number, since it is smaller than the sum of its proper divisors (295303007760).

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

104705675760 is a wasteful number, since it uses less digits than its factorization.

104705675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 104705675760 in words is "one hundred four billion, seven hundred five million, six hundred seventy-five thousand, seven hundred sixty".