A sheet discharging device, which is included in an image forming apparatus, includes a sheet discharging tray, a sheet discharging roller pair, a full state detection feeler pivotably supported and including a center feeler to measure a height of a center part of the recording medium and an edge feeler to measure a height of an edge part of the recording medium, and a full state detection sensor to detect a position of the full state detection feeler. A distance between a leading edge of the center feeler and an upper surface of the sheet discharging tray is smaller than a distance between a leading edge of the edge feeler and the upper surface thereof. The leading edge of the edge feeler is located closer to the upper surface of the sheet discharging tray than a common tangential line of the sheet discharging roller pair.