Contradiction with Deuteronomy 7:1
Psalms 105:24 speaks of the Israelites multiplying, while Deuteronomy 7:1 refers to nations that are greater and mightier than them.
Deuteronomy 7:1: When the LORD thy God shall bring thee into the land whither thou goest to possess it, and hath cast out many nations before thee, the Hittites, and the Girgashites, and the Amorites, and the Canaanites, and the Perizzites, and the Hivites, and the Jebusites, seven nations greater and mightier than thou;
Contradiction with Judges 6:6
Psalms 105:24 states that the Israelites grew stronger, but Judges 6:6 describes them as impoverished and oppressed by the Midianites.
Judges 6:6: And Israel was greatly impoverished because of the Midianites; and the children of Israel cried unto the LORD.
Contradiction with Isaiah 1:4
Psalms 105:24 highlights a growth in strength for the Israelites, whereas Isaiah 1:4 portrays them as a sinful nation, burdened with iniquity.
Isaiah 1:4: Ah sinful nation, a people laden with iniquity, a seed of evildoers, children that are corrupters: they have forsaken the LORD, they have provoked the Holy One of Israel unto anger, they are gone away backward. [laden: Heb. of heaviness] [gone...: Heb. alienated, or, separated]
Contradiction with Lamentations 1:8
Psalms 105:24 indicates growth and strength, but Lamentations 1:8 describes the city of Jerusalem as having sinned grievously and becoming weak.
Lamentations 1:8: Jerusalem hath grievously sinned; therefore she is removed: all that honoured her despise her, because they have seen her nakedness: yea, she sigheth, and turneth backward. [is...: Heb. is become a removing, or, wandering]
Contradiction with Jeremiah 13:17
Psalms 105:24 talks about increased numbers and strength, while Jeremiah 13:17 laments that the flock of the LORD has been taken captive.
Jeremiah 13:17: But if ye will not hear it, my soul shall weep in secret places for [your] pride; and mine eye shall weep sore, and run down with tears, because the LORD'S flock is carried away captive.