The number given is a part number from the bottom of the back handle/Mix Tank.
The first four digits correspond to a saw family in the Stihl lineup.
1106 = 090
1107 = 07
1108 = 08 S
1109 = 090 G
1110 = 041
1111 = 051, 075, 076
1112 = 041 G
1113 = 030, 031, 032
1114 = 020
1115 = 045, 056
1116 = 015
1117 = 042, 048
1118 = 028
1119 = 038
1120 = 009, 010, 011, 012
1121 = 024, 026, MS 260
1122 = 064, 066, MS 650, MS 660
1123 = 021, 023, 025, MS 210, MS 250
1124 = 084, 088, MS 880
1125 = 034, 036, MS 360
1127 = 029, 039, MS 290, MS 310, MS 390
1128 = 044, 046, MS 440, MS 460
1129 = 020 T, MS 200 T
1130 = 017, 018, MS 170, MS 180
1132 = 019 T, MS 191T
1133 = MS 270, MS 280
1135 = MS 361
1137 = MS 192
1138 = MS 441
1139 = MS 171, MS 181, MS 211
1140 = MS 311, MS 362, MS 391
1141 = MS 261, MS 271, MS 291
Therefore the Tank Handle (at least) from this saw is from the 044/046/MS440/MS460 family.