104742960096012 has 192 divisors, whose sum is σ = 284726376345600. Its totient is φ = 29349729112320.

The previous prime is 104742960096007. The next prime is 104742960096017. The reversal of 104742960096012 is 210690069247401.

It is an interprime number because it is at equal distance from previous prime (104742960096007) and next prime (104742960096017).

It is not an unprimeable number, because it can be changed into a prime (104742960096017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2434785439 + ... + 2434828457.

It is an arithmetic number, because the mean of its divisors is an integer number (1482949876800).

Almost surely, 2^{104742960096012} is an apocalyptic number.

104742960096012 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 104742960096012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142363188172800).

104742960096012 is an abundant number, since it is smaller than the sum of its proper divisors (179983416249588).

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

104742960096012 is a wasteful number, since it uses less digits than its factorization.

104742960096012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44476 (or 44474 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 104742960096012 in words is "one hundred four trillion, seven hundred forty-two billion, nine hundred sixty million, ninety-six thousand, twelve".