What is a palindrome number?
If the digits of a numbers reversed and number remain the same then it is called palindrome number

For example:
Digits from 0 to 9 are palindrome numbers and
22 ,33, 44, 121, 12321, 131 etc..

Simple c++ code to find number is palindrome or not:

1. #include<iostream>
2. using namespace std;
3. int main()
4. {
5.     int palindrome, reverse=0;
6.     cout<<"Enter number:  ";
7.     cin>>palindrome;
8.     int num=0,key=palindrome;
9. for(int i=1;palindrome!=0;i++){

10.     num=palindrome%10;
11.     palindrome=palindrome/10;
12.     reverse=num+(reverse*10);
13.               }

14.    if(reverse==key){
15.    cout<<key<<" is a Palindrome Number";
16.             }
17.             else{
18.    cout<<key<<"is NOT a Palindrome Number";
19.             }
20. return 0;
}
Dry Running The Code with respect to variable values and iteration
Let input is 121
1. Before for loop variable values are
2. palindrome=121;
3. key=121;
4. reverse=0;
5. num=0;

After for loop

1st iterationwhen   i = 1

1. num=1;
2. palindrome=12;
3. reverse=1;
2nd iterationwhen   i = 2

1. num=2;
2. palindrome=1;
3. reverse=12;
3rd iteration
when   i = 3

1. num=1;
2. palindrome=0;
3. reverse=121;
So palindrome=0; loop will break and program control will transfer to if else statement
Image View Of Code: click on image to view large

 Palindrome number in c++

Logic Explanation:
• We already known that if reverse of a number is equal to the same number than it is palindrome number
• Keeping in mind this certain variables and a loop use to get the reverse of a number which stores in variable 'reverse'
• After that using if else we check if reverse is equal to original number than it is a palindrome number otherwise it is not a palindrome number