Error during reorg: "AbortScript: Aborted QSA-20391 ORA-04031 during internal SQL (os errno 0)" (4299031)

During a Reorg you receive the following error and the script aborts:

From the script log:
......
[385] 10/30 14:04:02 Error occurred during execution of posting procedure
[385] 10/30 14:04:32 ExecLwrp returned: ORA-04031
[385] 10/30 14:04:32 ORA-04031: unable to allocate   bytes of shared memory ("","","","")
[385] 10/30 14:04:32 Posting session failed: ORA-04031
[385] 10/30 14:04:32 ORA-04031: unable to allocate   bytes of shared memory ("","","","")
[385] 10/30 14:04:32 AbortScript()
[385] 10/30 14:04:32 AbortScript: Aborted QSA-20391 ORA-04031 during internal SQL (os errno 0)
[385] 10/30 14:04:47 Can't update QUEST_SCRIPT end date: ORA-00604
[385] 10/30 14:04:47 ORA-00604: error occurred at recursive SQL level