Charles H. Spurgeon on Psalms 105:1

Call upon his name. The original meaning of this phrase is call (him) by his name, i.e., give him the descriptive title most expressive of his divine perfections; or more specifically, call him by his name Jehovah, i.e., ascribe to him the attributes which it denotes, to wit, eternity and self existence, together with that covenant relation to his people, which though not denoted by the name was constantly associated with it, and therefore necessarily suggested by it. The meaning of the next phrase is obscured, if not entirely concealed in the common version, "among the people." The plural form and sense of the original expression are essential to the writer's purpose, which is to glorify the God of Israel among the nations. Joseph Addison Alexander.