10005005105 has 16 divisors (see below), whose sum is σ = 12050519040. Its totient is φ = 7974372672.

The previous prime is 10005005089. The next prime is 10005005107. The reversal of 10005005105 is 50150050001.

It is a cyclic number.

It is not a de Polignac number, because 10005005105 - 2⁴ = 10005005089 is a prime.

It is a super-2 number, since 2×10005005105² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10005005107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810987 + ... + 2814543.

It is an arithmetic number, because the mean of its divisors is an integer number (753157440).

Almost surely, 2^10005005105 is an apocalyptic number.

It is an amenable number.

10005005105 is a deficient number, since it is larger than the sum of its proper divisors (2045513935).

10005005105 is a wasteful number, since it uses less digits than its factorization.

10005005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488.

The product of its (nonzero) digits is 125, while the sum is 17.

Adding to 10005005105 its reverse (50150050001), we get a palindrome (60155055106).

The spelling of 10005005105 in words is "ten billion, five million, five thousand, one hundred five".