Find the least positive integer \(n\) satisfying the following conditions:

- \(n^2=\overline{a_1a_2\cdots a_m}\)
- \(k^2=\overline{a_1a_2\cdots a_{m-1}0a_m}\)
- \(n \geq 4\)
- \(k\) is a positive integer

For example if \(4^2=16\) is a perfect square then \(106\) should also be a perfect square

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