Q: What is the sum of all factors of the number 105,008,400 excluding 105,008,400?

 A: 326,626,672

Why is 326,626,672 the sum of all factors of 105,008,400, excluding 105,008,400?

The factors of the number 105,008,400 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 70, 72, 75, 80, 81, 84, 90, 100, 105, 108, 112, 120, 126, 135, 140, 144, 150, 162, 168, 175, 180, 189, 200, 210, 216, 225, 240, 252, 270, 280, 300, 315, 324, 336, 350, 360, 378, 400, 405, 420, 432, 450, 463, 504, 525, 540, 560, 567, 600, 630, 648, 675, 700, 720, 756, 810, 840, 900, 926, 945, 1008, 1050, 1080, 1134, 1200, 1260, 1296, 1350, 1389, 1400, 1512, 1575, 1620, 1680, 1800, 1852, 1890, 2025, 2100, 2160, 2268, 2315, 2520, 2700, 2778, 2800, 2835, 3024, 3150, 3240, 3241, 3600, 3704, 3780, 4050, 4167, 4200, 4536, 4630, 4725, 5040, 5400, 5556, 5670, 6300, 6480, 6482, 6945, 7408, 7560, 8100, 8334, 8400, 9072, 9260, 9450, 9723, 10800, 11112, 11340, 11575, 12501, 12600, 12964, 13890, 14175, 15120, 16200, 16205, 16668, 18520, 18900, 19446, 20835, 22224, 22680, 23150, 25002, 25200, 25928, 27780, 28350, 29169, 32400, 32410, 33336, 34725, 37040, 37503, 37800, 38892, 41670, 45360, 46300, 48615, 50004, 51856, 55560, 56700, 58338, 62505, 64820, 66672, 69450, 75006, 75600, 77784, 81025, 83340, 87507, 92600, 97230, 100008, 104175, 111120, 113400, 116676, 125010, 129640, 138900, 145845, 150012, 155568, 162050, 166680, 175014, 185200, 187515, 194460, 200016, 208350, 226800, 233352, 243075, 250020, 259280, 262521, 277800, 291690, 300024, 312525, 324100, 333360, 350028, 375030, 388920, 416700, 437535, 466704, 486150, 500040, 525042, 555600, 583380, 600048, 625050, 648200, 700056, 729225, 750060, 777840, 833400, 875070, 937575, 972300, 1000080, 1050084, 1166760, 1250100, 1296400, 1312605, 1400112, 1458450, 1500120, 1666800, 1750140, 1875150, 1944600, 2100168, 2187675, 2333520, 2500200, 2625210, 2916900, 3000240, 3500280, 3750300, 3889200, 4200336, 4375350, 5000400, 5250420, 5833800, 6563025, 7000560, 7500600, 8750700, 10500840, 11667600, 13126050, 15001200, 17501400, 21001680, 26252100, 35002800, 52504200, 105008400.

If you add them up, you will get the total of 105,008,726. Now subtract 105,008,400 to get 326,626,672


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