104724791265601 has 8 divisors (see below), whose sum is σ = 119414694113064. Its totient is φ = 90982624085760.

The previous prime is 104724791265599. The next prime is 104724791265623. The reversal of 104724791265601 is 106562197427401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9022574137600 + 95702217128001 = 3003760^2 + 9782751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104724791265601 - 2¹ = 104724791265599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104724791265631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236933916670 + ... + 236933917111.

It is an arithmetic number, because the mean of its divisors is an integer number (14926836764133).

Almost surely, 2^{104724791265601} is an apocalyptic number.

It is an amenable number.

104724791265601 is a deficient number, since it is larger than the sum of its proper divisors (14689902847463).

104724791265601 is a wasteful number, since it uses less digits than its factorization.

104724791265601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473867833811.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 104724791265601 in words is "one hundred four trillion, seven hundred twenty-four billion, seven hundred ninety-one million, two hundred sixty-five thousand, six hundred one".