In summary, none these numbers is perfect square

The ending digit of a perfect square is among 0, 1, 4, 5, 6 or 9.

The last digit of 1087 is 7. Therefore, it's not a perfect square.

24653

3 is not any of the ending digit of a perfect square, which is not one of 0, 1, 4, 5, 6 or 9.

Therefore, it's not a perfect square.

88888

8 is not any of the ending digit of a perfect square, which is not one of 0, 1, 4, 5, 6 or 9.

Therefore, it's not a perfect square.

101010

0 is one of the ending digit of a perfect square.

Factorizing the number yields

101010

= 10\times 10101

= 10\times 3\times 3367

= 10\times 3\times 7\times13\times37

It shows 101010 is not a perfect square.