10087

10087 is a five-digit positive integer in the range 10000–99999. In mathematics it is an odd composite number with prime factorization 10087 = 7 × 11 × 131. Because it is the product of three distinct primes, 10087 is a sphenic number and square-free.

The number has eight positive divisors (1, 7, 11, 77, 131, 917, 1441, 10087). The sum of all divisors σ(10087) equals 12,672, and the sum of proper divisors is 2,585, so 10087 is a deficient number (proper divisor sum less than the number). Euler’s totient function yields φ(10087) = 7,800.

In common positional bases, 10087 is written in binary as 10011101100111 and in hexadecimal as 0x2767. It is not a palindrome in base 10. As a member of the set of natural numbers, 10087 has no widely recognized special significance beyond its arithmetic properties, but it serves as a typical example of a five-digit sphenic number used in elementary number theory discussions.