Charles H. Spurgeon on Psalms 106:8

Nevertheless he saved them for his name's sake, that he might make his mighty power to be known. When he could find no other reason for his mercy he found it in his own glory, and seized the opportunity to display his power. If Israel does not deserve to be saved, yet Pharaoh's pride needs to be crushed, and therefore Israel shall be delivered. The Lord very jealously guards his own name and honour. It shall never be said of him that he cannot or will not save his people, or that he cannot abate the haughtiness of his defiant foes. This respect unto his own honour ever leads him to deeds of mercy, and hence we may well rejoice that he is a jealous God.