A104315 Numbers having in decimal representation at least one zero, but with no zero in their square.

106, 107, 108, 109, 204, 206, 207, 208, 209, 304, 306, 307, 308, 309, 404, 406, 407, 408, 409, 604, 606, 607, 608, 704, 706, 707, 804, 806, 807, 808, 809, 904, 907, 908, 909, 1056, 1057, 1058, 1059, 1061, 1062, 1063, 1065, 1066, 1067, 1069, 1072, 1073