11106112 has 28 divisors (see below), whose sum is σ = 22278340. Its totient is φ = 5492736.

The previous prime is 11106103. The next prime is 11106131. The reversal of 11106112 is 21160111.

It can be written as a sum of positive squares in 2 ways, for example, as 8202496 + 2903616 = 2864^2 + 1704^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11106092 and 11106101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5314 + ... + 7102.

It is an arithmetic number, because the mean of its divisors is an integer number (795655).

Almost surely, 2^11106112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139170).

11106112 is an abundant number, since it is smaller than the sum of its proper divisors (11172228).

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

11106112 is an equidigital number, since it uses as much as digits as its factorization.

11106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 11106112 is about 3332.5833823027. The cubic root of 11106112 is about 223.1108459769.

Adding to 11106112 its reverse (21160111), we get a palindrome (32266223).

It can be divided in two parts, 1110611 and 2, that multiplied together give a palindrome (2221222).

The spelling of 11106112 in words is "eleven million, one hundred six thousand, one hundred twelve".