A roller bearing includes an inner race ring, an outer race ring, and a roller arranged between and in contact with the inner and outer rings. The bearing has a flange on the inner race ring at one axial end, and a flange on the outer race ring at an opposite axial end. At least one of the flanges, or an end of the roller, has a profile including a principal segment with a reference point C defining a contact location between the roller and the flange, the principal segment having a continuously changing radius of curvature, on both sides of reference point C, that decreases as a distance from the reference point C increases.