104422312434401 has 24 divisors (see below), whose sum is σ = 113154369950520. Its totient is φ = 96320216019456.

The previous prime is 104422312434367. The next prime is 104422312434413. The reversal of 104422312434401 is 104434213224401.

It can be written as a sum of positive squares in 12 ways, for example, as 90530657857600 + 13891654576801 = 9514760^2 + 3727151^2 .

It is not a de Polignac number, because 104422312434401 - 2¹⁰ = 104422312433377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104422312434491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393504931 + ... + 1393579863.

It is an arithmetic number, because the mean of its divisors is an integer number (4714765414605).

Almost surely, 2^{104422312434401} is an apocalyptic number.

It is an amenable number.

104422312434401 is a deficient number, since it is larger than the sum of its proper divisors (8732057516119).

104422312434401 is a wasteful number, since it uses less digits than its factorization.

104422312434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80805 (or 80792 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 104422312434401 its reverse (104434213224401), we get a palindrome (208856525658802).

The spelling of 104422312434401 in words is "one hundred four trillion, four hundred twenty-two billion, three hundred twelve million, four hundred thirty-four thousand, four hundred one".