100007

100007 is a prime number. It is the 9592nd prime number. Its digits are 1, 0, 0, 0, 0, and 7. In base 10, 100007 is a palindromic number, meaning it reads the same forwards and backward. It can be expressed as the sum of two squares: 276^2 + 247^2. The number 100007 is also a prime number of the form 4k+3, where k is an integer. Specifically, 100007 = 4 * 25001 + 3. This property has implications in number theory, particularly in relation to quadratic residues. The digits of 100007 sum to 8 (1+0+0+0+0+7). The number is not divisible by 2, 3, or 5. It is also not divisible by 7, 11, or 13. Its prime factorization is simply 100007. There are no other prime factors. The number 100007 appears in various mathematical contexts, often as an example or a test case in algorithms related to prime numbers.