10010606005505 has 12 divisors (see below), whose sum is σ = 13973988791700. Its totient is φ = 6864415546464.

The previous prime is 10010606005469. The next prime is 10010606005531. The reversal of 10010606005505 is 50550060601001.

It can be written as a sum of positive squares in 2 ways, for example, as 2087912291521 + 7922693713984 = 1444961^2 + 2814728^2 .

It is not a de Polignac number, because 10010606005505 - 2¹⁰ = 10010606004481 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20429807930 + ... + 20429808419.

It is an arithmetic number, because the mean of its divisors is an integer number (1164499065975).

Almost surely, 2^{10010606005505} is an apocalyptic number.

It is an amenable number.

10010606005505 is a deficient number, since it is larger than the sum of its proper divisors (3963382786195).

10010606005505 is an equidigital number, since it uses as much as digits as its factorization.

10010606005505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40859616368 (or 40859616361 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 10010606005505 its reverse (50550060601001), we get a palindrome (60560666606506).

The spelling of 10010606005505 in words is "ten trillion, ten billion, six hundred six million, five thousand, five hundred five".