104005133 has 16 divisors (see below), whose sum is σ = 113549040. Its totient is φ = 94887936.

The previous prime is 104005127. The next prime is 104005147. The reversal of 104005133 is 331500401.

It can be written as a sum of positive squares in 8 ways, for example, as 20593444 + 83411689 = 4538^2 + 9133^2 .

It is a cyclic number.

It is not a de Polignac number, because 104005133 - 2⁸ = 104004877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104005123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79541 + ... + 80837.

It is an arithmetic number, because the mean of its divisors is an integer number (7096815).

Almost surely, 2^104005133 is an apocalyptic number.

It is an amenable number.

104005133 is a deficient number, since it is larger than the sum of its proper divisors (9543907).

104005133 is a wasteful number, since it uses less digits than its factorization.

104005133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 104005133 is about 10198.2906901108. The cubic root of 104005133 is about 470.2746742124.

Adding to 104005133 its reverse (331500401), we get a palindrome (435505534).

The spelling of 104005133 in words is "one hundred four million, five thousand, one hundred thirty-three".