11005505506105 has 32 divisors (see below), whose sum is σ = 14681157579648. Its totient is φ = 7851852902400.

The previous prime is 11005505506097. The next prime is 11005505506153. The reversal of 11005505506105 is 50160550550011.

It is not a de Polignac number, because 11005505506105 - 2³ = 11005505506097 is a prime.

It is a super-2 number, since 2×11005505506105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20215065 + ... + 20752345.

It is an arithmetic number, because the mean of its divisors is an integer number (458786174364).

Almost surely, 2^{11005505506105} is an apocalyptic number.

It is an amenable number.

11005505506105 is a deficient number, since it is larger than the sum of its proper divisors (3675652073543).

11005505506105 is a wasteful number, since it uses less digits than its factorization.

11005505506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544377.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 11005505506105 in words is "eleven trillion, five billion, five hundred five million, five hundred six thousand, one hundred five".