A state trust company or a state bank may:
(1) Perform any act as a fiduciary;
(2) Engage in any trust business;
(3) Exercise any incidental power that is reasonably necessary to enable it to fully exercise, according to commonly accepted fiduciary customs and usages, a power conferred in this chapter; and
(4) If a state trust company, exercise any other power authorized by § 23-51-104.