104656867560 has 384 divisors, whose sum is σ = 411386601600. Its totient is φ = 23593006080.

The previous prime is 104656867543. The next prime is 104656867577. The reversal of 104656867560 is 65768656401.

104656867560 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 568 + 6 + 75 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104656867543) and next prime (104656867577).

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 = 104656867497 and 104656867506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3849615 + ... + 3876705.

It is an arithmetic number, because the mean of its divisors is an integer number (1071319275).

Almost surely, 2^104656867560 is an apocalyptic number.

104656867560 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 104656867560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205693300800).

104656867560 is an abundant number, since it is smaller than the sum of its proper divisors (306729734040).

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

104656867560 is a wasteful number, since it uses less digits than its factorization.

104656867560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27198 (or 27181 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 104656867560 in words is "one hundred four billion, six hundred fifty-six million, eight hundred sixty-seven thousand, five hundred sixty".