10005105005 has 8 divisors (see below), whose sum is σ = 13721286912. Its totient is φ = 6860643408.

The previous prime is 10005104983. The next prime is 10005105007. The reversal of 10005105005 is 50050150001.

10005105005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005105005 - 2¹² = 10005100909 is a prime.

It is a super-2 number, since 2×10005105005² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142930037 + ... + 142930106.

It is an arithmetic number, because the mean of its divisors is an integer number (1715160864).

Almost surely, 2^10005105005 is an apocalyptic number.

It is an amenable number.

10005105005 is a deficient number, since it is larger than the sum of its proper divisors (3716181907).

10005105005 is an equidigital number, since it uses as much as digits as its factorization.

10005105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285860155.

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

Adding to 10005105005 its reverse (50050150001), we get a palindrome (60055255006).

The spelling of 10005105005 in words is "ten billion, five million, one hundred five thousand, five".