I ask this question, as a Catholic, because Mormonism is hierarchical in structure and has a lot of similarities with Catholicism, although seemingly they are superficial as in being surface impretions but I digress.
This question, and the answers, will help shed light on a lot of misunderstandings, I think. Taking something most of us are familiar with, like the Pope (and these days he is quite popular) and contrast him with a leader not so well known which is the Prophet.
The Specific Elements I Expect in the Answers :
On Church Management in General
(1) If both claim the Petrine Seat(by succession or?).
(2) If both have a College of Bishops/"Highest Teachers" in union with the Pope or Prophet.
(3) If both have universal jurisdiction as universal pastors of their respective churches. Meaning that they can operate in all churches as if they were the head of those individual churches, no need to appeal to the locals.
(4) If both are completely immune from stepping down from the office unless it is their own decision to step down.
(5) If believers are encouraged to listen to the leader above any other in the hierarchy in case of disagreement between the leader and others on none dogmatic issues, as well as disagreements outside of the Church on politics for example.
On Infallibility
(6) If both claim to be infallible under certain conditions(if so what are they?) by virtue of their office in the eyes of God.
Of course if the two views differ, the one answering must explain where they differ. It does not need to be overly detailed, one authoritative official reference for both sides per point will suffice.