104463101364401 has 16 divisors (see below), whose sum is σ = 119234350645200. Its totient is φ = 90665327628288.

The previous prime is 104463101364389. The next prime is 104463101364437.

104463101364401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1234656544801 + 103228444819600 = 1111151^2 + 10160140^2 .

It is a cyclic number.

It is not a de Polignac number, because 104463101364401 - 2⁴⁶ = 34094357186737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104463101364001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234010766 + ... + 234456743.

It is an arithmetic number, because the mean of its divisors is an integer number (7452146915325).

Almost surely, 2^{104463101364401} is an apocalyptic number.

It is an amenable number.

104463101364401 is a deficient number, since it is larger than the sum of its proper divisors (14771249280799).

104463101364401 is a wasteful number, since it uses less digits than its factorization.

104463101364401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468468548.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 104463101364401 in words is "one hundred four trillion, four hundred sixty-three billion, one hundred one million, three hundred sixty-four thousand, four hundred one".