11105712 has 60 divisors (see below), whose sum is σ = 31308264. Its totient is φ = 3674880.

The previous prime is 11105707. The next prime is 11105713. The reversal of 11105712 is 21750111.

It is a happy number.

11105712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11105713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33387 + ... + 33717.

Almost surely, 2^11105712 is an apocalyptic number.

11105712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654132).

11105712 is an abundant number, since it is smaller than the sum of its proper divisors (20202552).

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

11105712 is a wasteful number, since it uses less digits than its factorization.

11105712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11105712 is about 3332.5233682602. The cubic root of 11105712 is about 223.1081674094.

Adding to 11105712 its reverse (21750111), we get a palindrome (32855823).

The spelling of 11105712 in words is "eleven million, one hundred five thousand, seven hundred twelve".