104585177760 has 768 divisors, whose sum is σ = 434236723200. Its totient is φ = 20573650944.

The previous prime is 104585177663. The next prime is 104585177797. The reversal of 104585177760 is 67771585401.

104585177760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 31471459 + ... + 31474781.

It is an arithmetic number, because the mean of its divisors is an integer number (565412400).

Almost surely, 2^104585177760 is an apocalyptic number.

104585177760 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 104585177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217118361600).

104585177760 is an abundant number, since it is smaller than the sum of its proper divisors (329651545440).

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

104585177760 is a wasteful number, since it uses less digits than its factorization.

104585177760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 104585177760 in words is "one hundred four billion, five hundred eighty-five million, one hundred seventy-seven thousand, seven hundred sixty".