Let's take a look at the longest-running #1 singles on each of the COMPONENT charts of the Billboard Hot 100 (and its precedents, the Honor Roll of Hits and the Top 100). Only songs with more than 10 weeks atop will be listed here. (>15 in the case of radio songs). These are the charts that either do (or did) contribute points to the Billboard Hot 100 (or Honor Roll, or Top 100). I Know that I'm missing a few charts (especially between 1950 and 1991...) but I'm open to anyone helping me out!
STREAMING SONGS (2013-Present):
13 Weeks: Iggy Azalea - "Fancy"
13 Weeks: Miley Cyrus - "Wrecking Ball"
12 Weeks: Mark Ronson - "Uptown Funk
11 Weeks: Miley Cyrus - "We Can't Stop"
ON-DEMAND SONGS (2012-Present):
13 Weeks: Macklemore & Ryan Lewis - "Thrift Shop"
11 Weeks: Mark Ronson - "Uptown Funk"
DIGITAL TRACKS/SONGS (2003-Present):
19 Weeks: OutKast - "Hey Ya!"
13 Weeks: Flo Rida - "Low"
13 Weeks: Mark Ronson - "Uptown Funk!"
11 Weeks: Pharrell Williams - "Happy"
RADIO SONGS (1984-Present):
18 Weeks: The Goo Goo Dolls - "Iris"
16 Weeks: No Doubt - "Don't Speak"
16 Weeks: Mariah Carey - "We Belong Together"
*interestingly, neither "Don't Speak" nor "Iris" was released as a physical single.*
SINGLE SALES (1991-Present):
28 Weeks: "What Time Is It" - High School Musical 2 Cast
23 Weeks: Men In My Head - "Century Love"
21 Weeks: Men In My Head - "Survivor Tree"
17 Weeks: Bryan Adams - "I Do It For..."
16 Weeks: Tag Team - "Whoomp! (There It Is)"
16 Weeks: ADELE - "Skyfall"
14 Weeks: 'N Sync - "Girlfriend"
14 Weeks: Whitney Houston - "I Will Always Love You"
14 Weeks: Destiny' Child - "Lose My Breath"
14 Weeks: Elton John - "Something About the Way You Look Tonight/Candle in the Wind 1997"
13 Weeks: Los Del Rio - "Macarena"
12 Weeks: Boyz II Men - "End of the Road"
11 Weeks: Lady Antebellum - "Just a Kiss"
11 Weeks: Mariah Carey / Boyz II Men - "One Sweet Day"
11 Weeks: Boyz II Men - "I'll Make Love To You"
11 Weeks: Fantasia - "I Believe"
11 Weeks: Madonna - "Die Another Day"
11 Weeks: Clay Aiken - "This Is The Night/Bridge Over Troubled Water"
*Since physical single sales have become rather irrelevant since the early 2000s, artists like High School Musical Cast, ADELE, and Men In My Head have been able to take over the chart*
BEST SELLING IN STORES (1945-1958)
13 Weeks: Gordon Jenkins and The Weavers - "Goodnight Irene"
12 Weeks: Ted Weems - "Heartache"
12 Weeks: Francis Craig - "Near You"
11 Weeks: Vaughn Monroe - ""(Ghost) Riders in the Sky: A Cowboy Legend"
11 Weeks: Anton Karas - "The Third Man Theme"
11 Weeks: Jonny Ray - "Cry"
11 Weeks: Les Paul - "Vaya con Dios (May God Be with You)"
11 Weeks: Elvis Presley - "Hound Dog / Don't Be Cruel"
MOST PLAYED IN JUKEBOXES (1940-1957)
13 Weeks: Patti Page - "The Tennessee Waltz"
12 Weeks: Gordon Jenkins and The Weavers - "Goodnight Irene"
11 Weeks: Anton Karas - "The Third Man Theme"
11 Weeks: Elvis Presley - "Hound Dog / Don't Be Cruel"
BEST SELLING RETAIL RECORDS (1940-1945):
12 Weeks: Harry James- "I've Heard That Song Before"
12 Weeks: Mills Brothers - "Paper Doll"
12 Weeks: Artie Shaw - "Frenesi"
12 Weeks: Tommy Dorsey - ""I'll Never Smile Again"
11 Weeks: Bing Crosby - "White Christmas"
MOST PLAYED BY JOKEYS (1940-?)
11 Weeks: Jo Stafford - "I Belong To You"