10824104005 has 24 divisors (see below), whose sum is σ = 15375330936. Its totient is φ = 7266526080.

The previous prime is 10824103993. The next prime is 10824104021. The reversal of 10824104005 is 50040142801.

It can be written as a sum of positive squares in 4 ways, for example, as 1192251841 + 9631852164 = 34529^2 + 98142^2 .

It is not a de Polignac number, because 10824104005 - 2⁷ = 10824103877 is a prime.

It is a super-2 number, since 2×10824104005² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680254 + ... + 695983.

It is an arithmetic number, because the mean of its divisors is an integer number (640638789).

Almost surely, 2^10824104005 is an apocalyptic number.

It is an amenable number.

10824104005 is a deficient number, since it is larger than the sum of its proper divisors (4551226931).

10824104005 is a wasteful number, since it uses less digits than its factorization.

10824104005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376277 (or 1376266 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 10824104005 its reverse (50040142801), we get a palindrome (60864246806).

The spelling of 10824104005 in words is "ten billion, eight hundred twenty-four million, one hundred four thousand, five".