104517665280 has 640 divisors, whose sum is σ = 426214863360. Its totient is φ = 23781703680.

The previous prime is 104517665183. The next prime is 104517665281. The reversal of 104517665280 is 82566715401.

104517665280 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 76 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104517665281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 163053760 + ... + 163054400.

It is an arithmetic number, because the mean of its divisors is an integer number (665960724).

Almost surely, 2^104517665280 is an apocalyptic number.

104517665280 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 104517665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213107431680).

104517665280 is an abundant number, since it is smaller than the sum of its proper divisors (321697198080).

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

104517665280 is an equidigital number, since it uses as much as digits as its factorization.

104517665280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 104517665280 in words is "one hundred four billion, five hundred seventeen million, six hundred sixty-five thousand, two hundred eighty".