104205444133 has 48 divisors (see below), whose sum is σ = 126492462000. Its totient is φ = 85490270208.

The previous prime is 104205444107. The next prime is 104205444229. The reversal of 104205444133 is 331444502401.

It can be written as a sum of positive squares in 8 ways, for example, as 4211620609 + 99993823524 = 64897^2 + 316218^2 .

It is a de Polignac number, because none of the positive numbers 2^k-104205444133 is a prime.

It is a super-3 number, since 3×104205444133³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104205444095 and 104205444104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104205445133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112169013 + ... + 112169941.

It is an arithmetic number, because the mean of its divisors is an integer number (2635259625).

Almost surely, 2^104205444133 is an apocalyptic number.

It is an amenable number.

104205444133 is a deficient number, since it is larger than the sum of its proper divisors (22287017867).

104205444133 is a wasteful number, since it uses less digits than its factorization.

104205444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 104205444133 its reverse (331444502401), we get a palindrome (435649946534).

The spelling of 104205444133 in words is "one hundred four billion, two hundred five million, four hundred forty-four thousand, one hundred thirty-three".