---
id: 5900f4151000cf542c50ff27
challengeType: 5
title: 'Problem 168: Number Rotations'
---
## Description
Consider the number 142857. We can right-rotate this number by moving the last digit (7) to the front of it, giving us 714285.
It can be verified that 714285=5×142857.
This demonstrates an unusual property of 142857: it is a divisor of its right-rotation.
Find the last 5 digits of the sum of all integers n, 10 < n < 10100, that have this property.
## Instructions
## Tests
```yml
tests:
- text: euler168() should return 59206.
testString: assert.strictEqual(euler168(), 59206, 'euler168() should return 59206.');
```
## Challenge Seed
```js
function euler168() {
// Good luck!
return true;
}
euler168();
```