10005331406 has 64 divisors (see below), whose sum is σ = 17975623680. Its totient is φ = 4086720000.

The previous prime is 10005331397. The next prime is 10005331409. The reversal of 10005331406 is 60413350001.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005331409) 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 31 ways as a sum of consecutive naturals, for example, 16647506 + ... + 16648106.

It is an arithmetic number, because the mean of its divisors is an integer number (280869120).

Almost surely, 2^10005331406 is an apocalyptic number.

10005331406 is a deficient number, since it is larger than the sum of its proper divisors (7970292274).

10005331406 is a wasteful number, since it uses less digits than its factorization.

10005331406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 10005331406 its reverse (60413350001), we get a palindrome (70418681407).

The spelling of 10005331406 in words is "ten billion, five million, three hundred thirty-one thousand, four hundred six".