10005105506 has 32 divisors (see below), whose sum is σ = 17430940800. Its totient is φ = 4256582400.

The previous prime is 10005105497. The next prime is 10005105563. The reversal of 10005105506 is 60550150001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6206 + ... + 141593.

It is an arithmetic number, because the mean of its divisors is an integer number (544716900).

Almost surely, 2^10005105506 is an apocalyptic number.

10005105506 is a deficient number, since it is larger than the sum of its proper divisors (7425835294).

10005105506 is a wasteful number, since it uses less digits than its factorization.

10005105506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148010.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 10005105506 its reverse (60550150001), we get a palindrome (70555255507).

It can be divided in two parts, 10005 and 105506, that added together give a palindrome (115511).

The spelling of 10005105506 in words is "ten billion, five million, one hundred five thousand, five hundred six".