Find the n

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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