From bd64a0b7e9691fc8415db717bdd0af3f7b3be3d8 Mon Sep 17 00:00:00 2001
From: Yaswanth Naga Sai K <140506928+YASWANTH1976@users.noreply.github.com>
Date: Sun, 5 Apr 2026 21:17:37 +0530
Subject: [PATCH] Add function to check if a number is a palindrome

This function checks if a given integer is a palindrome without converting it to a string. It handles edge cases for negative numbers and numbers ending in zero.
---
 maths/palindrome_number.py | 41 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 41 insertions(+)
 create mode 100644 maths/palindrome_number.py

diff --git a/maths/palindrome_number.py b/maths/palindrome_number.py
new file mode 100644
index 000000000000..21acd9b193aa
--- /dev/null
+++ b/maths/palindrome_number.py
@@ -0,0 +1,41 @@
+def is_palindrome(number: int) -> bool:
+    """
+    Determines if an integer is a palindrome without using string conversion.
+
+    Logic:
+    1. Negative numbers are not palindromes.
+    2. Numbers ending in 0 (except 0 itself) are not palindromes.
+    3. Reverse half of the number and compare.
+
+    Examples:
+    >>> is_palindrome(121)
+    True
+    >>> is_palindrome(12321)
+    True
+    >>> is_palindrome(10)
+    False
+    >>> is_palindrome(-121)
+    False
+    >>> is_palindrome(0)
+    True
+    >>> is_palindrome(1)
+    True
+    >>> is_palindrome(1221)
+    True
+    >>> is_palindrome(123)
+    False
+    """
+
+    # Edge cases
+    if number < 0 or (number % 10 == 0 and number != 0):
+        return False
+
+    reversed_half = 0
+
+    # Reverse half of the digits
+    while number > reversed_half:
+        reversed_half = reversed_half * 10 + number % 10
+        number //= 10
+
+    # Check for even and odd length numbers
+    return number == reversed_half or number == reversed_half // 10