Penelope faces 108 suitors in the palace in Homer’s Odyssey. They arrive from several islands and regions around Ithaca while Odysseus is presumed dead after the Trojan War.
The suitors consume Odysseus’s food and wine, pressure Penelope to remarry, and threaten the household’s future. Penelope delays them with her famous weaving trick: she promises to choose a husband after finishing a burial shroud for Laertes, then secretly unweaves the cloth each night.
The Odyssey gives a geographic breakdown of the group: 52 come from Dulichium, 24 from Same, 20 from Zacynthus, and 12 from Ithaca. Not all 108 are individually important or named. Antinous and Eurymachus are the most prominent leaders, while Amphinomus is portrayed as more restrained than the others.
A common mix-up comes from later mythographic traditions, especially the Bibliotheca, which gives a different and damaged list of suitors. For the Homeric Odyssey itself, 108 is the standard answer.