11055 has 16 divisors (see below), whose sum is σ = 19584. Its totient is φ = 5280.

The previous prime is 11047. The next prime is 11057. The reversal of 11055 is 55011.

Added to its reverse (55011) it gives a triangular number (66066 = T₃₆₃).

11055 = T₄₅ + T₄₆ + ... + T₅₃.

11055 = 11² + 12² + ... + 32².

11055 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 11055 - 2³ = 11047 is a prime.

11055 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 11055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

2¹¹⁰⁵⁵ is an apocalyptic number.

11055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11055 is a deficient number, since it is larger than the sum of its proper divisors (8529).

11055 is a wasteful number, since it uses less digits than its factorization.

11055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 11055 is about 105.1427600931. The cubic root of 11055 is about 22.2768056343.

Adding to 11055 its reverse (55011), we get a palindrome (66066).

Subtracting 11055 from its reverse (55011), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 11055 in words is "eleven thousand, fifty-five".