105064

105064 is a number that appears in various contexts, including mathematics, computer science, and popular culture. It is notable primarily for its appearance in the sequence of prime numbers and its significance in certain mathematical puzzles.

In mathematics, 105064 is not itself a prime number, but it is closely associated with the 25,000th prime number. The 25,000th prime is 274,949, and 105064 is the difference between the 25,000th and the 24,999th prime (274,949 – 274,885 = 64), though this is not its most distinctive feature. The number itself is divisible by 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, and 144, making it a highly composite number.

In computer science, 105064 has been referenced in discussions about large integers and computational algorithms, particularly in problems involving prime gaps or prime counting functions. It occasionally appears in programming challenges or mathematical competitions as a benchmark or test case.

The number also gained minor notoriety in popular culture due to its inclusion in the 2005 film *The Number 23*, where it was part of a sequence of numbers with alleged hidden meanings. However, this connection is largely speculative and not mathematically significant.

Overall, while 105064 lacks broad recognition, its appearance in mathematical sequences and computational contexts keeps it of interest to enthusiasts of number theory and problem-solving.