104315685253560 has 256 divisors, whose sum is σ = 379457570419200. Its totient is φ = 25280130585600.

The previous prime is 104315685253529. The next prime is 104315685253597. The reversal of 104315685253560 is 65352586513401.

104315685253560 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 5 + 68 + 525 + 3 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104315685253497 and 104315685253506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33817732 + ... + 36773228.

It is an arithmetic number, because the mean of its divisors is an integer number (1482256134450).

Almost surely, 2^{104315685253560} is an apocalyptic number.

104315685253560 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 104315685253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189728785209600).

104315685253560 is an abundant number, since it is smaller than the sum of its proper divisors (275141885165640).

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

104315685253560 is a wasteful number, since it uses less digits than its factorization.

104315685253560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958499 (or 2958489 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 104315685253560 in words is "one hundred four trillion, three hundred fifteen billion, six hundred eighty-five million, two hundred fifty-three thousand, five hundred sixty".