Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
11106 = 232617

11106 has 12 divisors (see below), whose sum is σ = 24102. Its totient is φ = 3696.

The previous prime is 11093. The next prime is 11113. The reversal of 11106 is 60111.

11106 is nontrivially palindromic in base 7.

11106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11106 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 81 = 105^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 15.

It is an unprimeable number.

11106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291 + ... + 326.

211106 is an apocalyptic number.

11106 is an abundant number, since it is smaller than the sum of its proper divisors (12996).

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

11106 is a wasteful number, since it uses less digits than its factorization.

11106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11106 is about 105.3850084215. The cubic root of 11106 is about 22.3110095984.

Adding to 11106 its reverse (60111), we get a palindrome (71217).

The spelling of 11106 in words is "eleven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 617 1234 1851 3702 5553 11106