10505055005 has 16 divisors (see below), whose sum is σ = 12857122224. Its totient is φ = 8236999680.

The previous prime is 10505054993. The next prime is 10505055013. The reversal of 10505055005 is 50055050501.

10505055005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34969 + 10505020036 = 187^2 + 102494^2 .

It is not a de Polignac number, because 10505055005 - 2¹² = 10505050909 is a prime.

It is a super-2 number, since 2×10505055005² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 244325 + ... + 284085.

It is an arithmetic number, because the mean of its divisors is an integer number (803570139).

Almost surely, 2^10505055005 is an apocalyptic number.

It is an amenable number.

10505055005 is a deficient number, since it is larger than the sum of its proper divisors (2352067219).

10505055005 is an equidigital number, since it uses as much as digits as its factorization.

10505055005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40816.

The product of its (nonzero) digits is 3125, while the sum is 26.

It can be divided in two parts, 1050505 and 5005, that multiplied together give a palindrome (5257777525).

The spelling of 10505055005 in words is "ten billion, five hundred five million, fifty-five thousand, five".