10005404331 has 16 divisors (see below), whose sum is σ = 14581167104. Its totient is φ = 6065272224.

The previous prime is 10005404329. The next prime is 10005404341. The reversal of 10005404331 is 13340450001.

It is not a de Polignac number, because 10005404331 - 2¹ = 10005404329 is a prime.

It is a super-2 number, since 2×10005404331² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005404298 and 10005404307.

It is not an unprimeable number, because it can be changed into a prime (10005404341) 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, 1911931 + ... + 1917156.

It is an arithmetic number, because the mean of its divisors is an integer number (911322944).

Almost surely, 2^10005404331 is an apocalyptic number.

10005404331 is a deficient number, since it is larger than the sum of its proper divisors (4575762773).

10005404331 is a wasteful number, since it uses less digits than its factorization.

10005404331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829170.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10005404331 its reverse (13340450001), we get a palindrome (23345854332).

The spelling of 10005404331 in words is "ten billion, five million, four hundred four thousand, three hundred thirty-one".