11050105105105 has 64 divisors (see below), whose sum is σ = 14655397920768. Its totient is φ = 7931709596160.

The previous prime is 11050105105093. The next prime is 11050105105111. The reversal of 11050105105105 is 50150150105011.

11050105105105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11050105105105 - 2⁵ = 11050105105073 is a prime.

It is a super-2 number, since 2×11050105105105² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11050105105105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3033241414 + ... + 3033245056.

It is an arithmetic number, because the mean of its divisors is an integer number (228990592512).

Almost surely, 2^{11050105105105} is an apocalyptic number.

It is an amenable number.

11050105105105 is a deficient number, since it is larger than the sum of its proper divisors (3605292815663).

11050105105105 is a wasteful number, since it uses less digits than its factorization.

11050105105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 11050105105105 in words is "eleven trillion, fifty billion, one hundred five million, one hundred five thousand, one hundred five".