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equidigital n.  and  sphenic n.

First numbers that belong to both sets:

105, 1005, 1015, 1022, 1065, 1085, 1095, 1106, 1113, 1162, 1185, 1239, 1245, 1246, 1281, 1295, 1335, 1358, 1407, 1435, 1455, 1491, 1505, 1533, 1645, 1659, 1743, 1855, 1869, 2037, 2065, 2135, 2345, 2485, 2555, 2765, 2905, 3115, 3395, 10011, 10059, 10066, 10095, 10105, 10126, 10155, 10178, 10191, 10199, 10209, 10227, 10235, 10245, 10255, 10262, 10282, 10293, 10295, 10311, 10346, 10365, 10366, 10385, 10402, 10479, 10502, 10507, 10514, 10515, 10563, 10585, 10586, 10591, 10598, 10619, 10635, 10653, 10654, 10689, 10707, 10745, 10759, 10766, 10767, 10785, 10787, 10797, 10822, 10858, 10865, 10885, 10905, 10915, 10941, 10947, 10955, 10983, 10995, 11005, 11018, 11039, 11085, 11095, 11122, 11137, 11139, 11145, 11155, 11158, 11218, 11265, 11285, 11289, 11315, 11326, 11354, 11355, 11361, 11395, 11415, 11431, 11446, 11455, 11481, 11487, 11494, 11501, 11522, 11534, 11535, 11543, 11578, 11585, 11595, 11606, 11607, 11697, 11703, 11746, 11753, 11786, 11795, 11805, 11823, 11834, 11837, 11859, 11926, 11931, 11942, 11949, 11955, 11977, 11991, 11998, 12026, 12035, 12082, 12095, 12117, 12118, 12135, 12145, 12165, 12173, 12215, 12245, 12261, 12278, 12315, 12327, 12334, 12341, 12345, 12355, 12362, 12383, 12395, 12405, 12418, 12435, 12453, 12455, 12505, 12513, 12549, 12561, 12565, 12567, 12579, 12585, 12621, 12638, 12685, 12698, 12719, 12747, 12754, 12795, 12803, 12845, 12855, 12865, 12866, 12873, 12885, 12901, 12905, 12921, 12945, 12957, 12993, 12994, 12998, 12999, 13006, 13055, 13114, 13115, 13118, 13135, 13155, 13174, 13197, 13215, 13237, 13245, 13251, 13258, 13265, 13305, 13342, 13359, 13363, 13405, 13461, 13489, 13503, 13505, 13538, 13587, 13594, 13601, 13605, 13615, 13665, 13677, 13678, 13713, 13727, 13735, 13762, 13774, 13785, 13795, 13839, 13865, 13874, 13881, 13895, 13935, 13958, 13983, 14035, 14055, 14062, 14065, 14115, 14133, 14147, 14151, 14162, 14205, 14217, 14271, 14295, 14315, 14329, 14335, 14343.

Some larger examples :