104166159605760 has 3584 divisors, whose sum is σ = 443187803455488. Its totient is φ = 20329959260160.

The previous prime is 104166159605723. The next prime is 104166159605801. The reversal of 104166159605760 is 67506951661401.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a self number, because there is not a number n which added to its sum of digits gives 104166159605760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1011321937869 + ... + 1011321937971.

It is an arithmetic number, because the mean of its divisors is an integer number (123657311232).

Almost surely, 2^{104166159605760} is an apocalyptic number.

104166159605760 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 104166159605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221593901727744).

104166159605760 is an abundant number, since it is smaller than the sum of its proper divisors (339021643849728).

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

104166159605760 is a wasteful number, since it uses less digits than its factorization.

104166159605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 104166159605760 in words is "one hundred four trillion, one hundred sixty-six billion, one hundred fifty-nine million, six hundred five thousand, seven hundred sixty".