104596123743072 has 576 divisors, whose sum is σ = 327338574151680. Its totient is φ = 31486896709632.

The previous prime is 104596123743029. The next prime is 104596123743077. The reversal of 104596123743072 is 270347321695401.

104596123743072 is a `hidden beast` number, since 1 + 0 + 4 + 59 + 61 + 2 + 37 + 430 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104596123743077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48945307188 + ... + 48945309324.

It is an arithmetic number, because the mean of its divisors is an integer number (568296135680).

Almost surely, 2^{104596123743072} is an apocalyptic number.

104596123743072 is a gapful number since it is divisible by the number (12) 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 104596123743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163669287075840).

104596123743072 is an abundant number, since it is smaller than the sum of its proper divisors (222742450408608).

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

104596123743072 is a wasteful number, since it uses less digits than its factorization.

104596123743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 104596123743072 in words is "one hundred four trillion, five hundred ninety-six billion, one hundred twenty-three million, seven hundred forty-three thousand, seventy-two".