11105216 has 56 divisors (see below), whose sum is σ = 23865840. Its totient is φ = 5107712.

The previous prime is 11105201. The next prime is 11105221. The reversal of 11105216 is 61250111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 11105194 and 11105203.

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 7 ways as a sum of consecutive naturals, for example, 64106 + ... + 64278.

Almost surely, 2^11105216 is an apocalyptic number.

11105216 is a gapful number since it is divisible by the number (16) 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 11105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932920).

11105216 is an abundant number, since it is smaller than the sum of its proper divisors (12760624).

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

11105216 is a wasteful number, since it uses less digits than its factorization.

11105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 11105216 is about 3332.4489493464. The cubic root of 11105216 is about 223.1048458965.

Adding to 11105216 its reverse (61250111), we get a palindrome (72355327).

The spelling of 11105216 in words is "eleven million, one hundred five thousand, two hundred sixteen".