id	title	challengeType	forumTopicId	dashedName
5900f4151000cf542c50ff27	Problem 168: Number Rotations	5	301802	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.

--hints--

numberRotations() should return 59206.

assert.strictEqual(numberRotations(), 59206);

function numberRotations() {

  return true;
}

numberRotations();

// solution required