104322684533760 has 7040 divisors, whose sum is σ = 522163825920000. Its totient is φ = 19828367032320.

The previous prime is 104322684533737. The next prime is 104322684533761. The reversal of 104322684533760 is 67335486223401.

104322684533760 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 26 + 84 + 533 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

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 = 104322684533697 and 104322684533706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104322684533761) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3597333949426 + ... + 3597333949454.

It is an arithmetic number, because the mean of its divisors is an integer number (74170998000).

Almost surely, 2^{104322684533760} is an apocalyptic number.

104322684533760 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 104322684533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261081912960000).

104322684533760 is an abundant number, since it is smaller than the sum of its proper divisors (417841141386240).

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

104322684533760 is an equidigital number, since it uses as much as digits as its factorization.

104322684533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 104322684533760 in words is "one hundred four trillion, three hundred twenty-two billion, six hundred eighty-four million, five hundred thirty-three thousand, seven hundred sixty".