104655810861056 has 576 divisors, whose sum is σ = 264256172107200. Its totient is φ = 40564282097664.

The previous prime is 104655810861031. The next prime is 104655810861073. The reversal of 104655810861056 is 650168018556401.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 104655810860992 and 104655810861010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27767525540 + ... + 27767529308.

It is an arithmetic number, because the mean of its divisors is an integer number (458778076575).

Almost surely, 2^{104655810861056} is an apocalyptic number.

104655810861056 is a gapful number since it is divisible by the number (16) 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 104655810861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132128086053600).

104655810861056 is an abundant number, since it is smaller than the sum of its proper divisors (159600361246144).

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

104655810861056 is a wasteful number, since it uses less digits than its factorization.

104655810861056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 56.

The spelling of 104655810861056 in words is "one hundred four trillion, six hundred fifty-five billion, eight hundred ten million, eight hundred sixty-one thousand, fifty-six".