11109216 has 48 divisors (see below), whose sum is σ = 29487024. Its totient is φ = 3661824.

The previous prime is 11109187. The next prime is 11109223. The reversal of 11109216 is 61290111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11109192 and 11109201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8716 + ... + 9908.

It is an arithmetic number, because the mean of its divisors is an integer number (614313).

Almost surely, 2^11109216 is an apocalyptic number.

11109216 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 11109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14743512).

11109216 is an abundant number, since it is smaller than the sum of its proper divisors (18377808).

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

11109216 is a wasteful number, since it uses less digits than its factorization.

11109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11109216 is about 3333.0490545445. The cubic root of 11109216 is about 223.1316294745.

Adding to 11109216 its reverse (61290111), we get a palindrome (72399327).

It can be divided in two parts, 11109 and 216, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 11109216 in words is "eleven million, one hundred nine thousand, two hundred sixteen".