105

Names of 105

• Cardinal: 105 can be written as One hundred five.

Scientific notation

• Scientific notation: 1.05 × 10²

Factors of 105

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 15

Divisors of 105

• Number of divisors d(n): 8
• Complete list of divisors:
  1 3 5 7 15 21 35 105
• Sum of all divisors σ(n): 192
• Sum of proper divisors (its aliquot sum) s(n): 87
• 105 is a deficient number, because the sum of its proper divisors (87) is less than itself. Its deficiency is 18

Bases of 105

• Binary: 1101001₂
• Hexadecimal: 0x69
• Base-36: 2X

Squares and roots of 105

• 105 squared (105²) is 11025
• 105 cubed (105³) is 1157625
• The square root of 105 is 10.2469507659
• The cube root of 105 is 4.7176939803

Scales and comparisons

• 105 seconds is equal to 1 minute, 45 seconds.
• To count from 1 to 105 would take you about fifty-two seconds.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 105 cubic inches would be around 0.4 feet tall.

Recreational maths with 105

• 105 backwards is 501
• The number of decimal digits it has is: 3
• The sum of 105's digits is 6
• More coming soon!