111055 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 71712.

The previous prime is 111053. The next prime is 111091. The reversal of 111055 is 550111.

It is a 5-Lehmer number, since φ(111055) divides (111055-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 111055 - 2¹ = 111053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹¹¹⁰⁵⁵ is an apocalyptic number.

111055 is the 167-th decagonal number.

111055 is a deficient number, since it is larger than the sum of its proper divisors (50225).

111055 is a wasteful number, since it uses less digits than its factorization.

111055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 111055 is about 333.2491560379. The cubic root of 111055 is about 48.0668916917.

Adding to 111055 its reverse (550111), we get a palindrome (661166).

The spelling of 111055 in words is "one hundred eleven thousand, fifty-five".