11105605010106 has 32 divisors (see below), whose sum is σ = 24749836104000. Its totient is φ = 3691261257840.

The previous prime is 11105605010047. The next prime is 11105605010161. The reversal of 11105605010106 is 60101050650111.

11105605010106 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 56 + 0 + 501 + 0 + 106 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11105605010106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294622060 + ... + 294659751.

It is an arithmetic number, because the mean of its divisors is an integer number (773432378250).

Almost surely, 2^{11105605010106} is an apocalyptic number.

11105605010106 is an abundant number, since it is smaller than the sum of its proper divisors (13644231093894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11105605010106 is a wasteful number, since it uses less digits than its factorization.

11105605010106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589282171 (or 589282165 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 11105605010106 its reverse (60101050650111), we get a palindrome (71206655660217).

The spelling of 11105605010106 in words is "eleven trillion, one hundred five billion, six hundred five million, ten thousand, one hundred six".