11102112 has 72 divisors (see below), whose sum is σ = 36088416. Its totient is φ = 3171456.

The previous prime is 11102087. The next prime is 11102131. The reversal of 11102112 is 21120111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 11102094 and 11102103.

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 11 ways as a sum of consecutive naturals, for example, 738 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 2^11102112 is an apocalyptic number.

11102112 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 11102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208).

11102112 is an abundant number, since it is smaller than the sum of its proper divisors (24986304).

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

11102112 is a wasteful number, since it uses less digits than its factorization.

11102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11102112 is about 3331.9831932349. The cubic root of 11102112 is about 223.0840574077.

Adding to 11102112 its reverse (21120111), we get a palindrome (32222223).

The spelling of 11102112 in words is "eleven million, one hundred two thousand, one hundred twelve".