104137432800624 has 240 divisors, whose sum is σ = 293349979113984. Its totient is φ = 34485875712000.

The previous prime is 104137432800617. The next prime is 104137432800649. The reversal of 104137432800624 is 426008234731401.

104137432800624 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 7 + 4 + 3 + 2 + 8 + 0 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 10204775²-1.

It is a super-2 number, since 2×104137432800624² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104137432800624.

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, 32675691159 + ... + 32675694345.

Almost surely, 2^{104137432800624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104137432800624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146674989556992).

104137432800624 is an abundant number, since it is smaller than the sum of its proper divisors (189212546313360).

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

104137432800624 is a wasteful number, since it uses less digits than its factorization.

104137432800624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 104137432800624 in words is "one hundred four trillion, one hundred thirty-seven billion, four hundred thirty-two million, eight hundred thousand, six hundred twenty-four".