11100055106106 has 64 divisors (see below), whose sum is σ = 25376202858240. Its totient is φ = 3594961880640.

The previous prime is 11100055106093. The next prime is 11100055106123. The reversal of 11100055106106 is 60160155000111.

11100055106106 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 0 + 551 + 0 + 6 + 106 = 666.

It is a super-2 number, since 2×11100055106106² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11100055106106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18532525 + ... + 19122096.

It is an arithmetic number, because the mean of its divisors is an integer number (396503169660).

Almost surely, 2^{11100055106106} is an apocalyptic number.

11100055106106 is an abundant number, since it is smaller than the sum of its proper divisors (14276147752134).

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

11100055106106 is a wasteful number, since it uses less digits than its factorization.

11100055106106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37654788 (or 37654782 counting only the distinct ones).

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

The spelling of 11100055106106 in words is "eleven trillion, one hundred billion, fifty-five million, one hundred six thousand, one hundred six".