104311747805760 has 896 divisors, whose sum is σ = 408573278945280. Its totient is φ = 24841081036800.

The previous prime is 104311747805737. The next prime is 104311747805791. The reversal of 104311747805760 is 67508747113401.

104311747805760 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 117 + 478 + 0 + 57 + 6 + 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 = 104311747805697 and 104311747805706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1869123777 + ... + 1869179583.

Almost surely, 2^{104311747805760} is an apocalyptic number.

104311747805760 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 104311747805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204286639472640).

104311747805760 is an abundant number, since it is smaller than the sum of its proper divisors (304261531139520).

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

104311747805760 is a wasteful number, since it uses less digits than its factorization.

104311747805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56192 (or 56176 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 104311747805760 in words is "one hundred four trillion, three hundred eleven billion, seven hundred forty-seven million, eight hundred five thousand, seven hundred sixty".