Implement palindrome number checker function

This function checks if a given integer is a palindrome without converting it to a string. It includes examples and handles negative numbers.

Author: ITZ-NIHALPATEL

maths/is_palindrome_number.py

@@ -0,0 +1,57 @@
+"""
+Check if a given integer is a palindrome mathematically.
+"""
+
+
+def is_palindrome_number(number: int) -> bool:
+    """
+    Checks if a given integer is a palindrome without converting it to a string.
+    A palindrome is a number that reads the same backward as forward.
+    Negative numbers are not considered palindromes by this definition.
+
+    Args:
+        number: The integer to check.
+
+    Returns:
+        True if the number is a palindrome, False otherwise.
+
+    Examples:
+    >>> is_palindrome_number(121)
+    True
+    >>> is_palindrome_number(123)
+    False
+    >>> is_palindrome_number(10)
+    False
+    >>> is_palindrome_number(12321)
+    True
+    >>> is_palindrome_number(7)
+    True
+    >>> is_palindrome_number(0)
+    True
+    >>> is_palindrome_number(-121)
+    False
+    """
+    # Negative numbers are not considered palindromes
+    if number < 0:
+        return False
+
+    original_number = number
+    reversed_number = 0
+
+    while number > 0:
+        # Get the last digit
+        digit = number % 10
+        
+        # Build the reversed number
+        reversed_number = (reversed_number * 10) + digit
+        
+        # Remove the last digit from the original number
+        number //= 10
+
+    # Compare the original with the reversed number
+    return original_number == reversed_number
+
+
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()