100287 has 12 divisors (see below), whose sum is σ = 158184. Its totient is φ = 60720.

The previous prime is 100279. The next prime is 100291. The reversal of 100287 is 782001.

It is not a de Polignac number, because 100287 - 2³ = 100279 is a prime.

100287 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100287.

It is not an unprimeable number, because it can be changed into a prime (100207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (13182).

2¹⁰⁰²⁸⁷ is an apocalyptic number.

100287 is a deficient number, since it is larger than the sum of its proper divisors (57897).

100287 is a wasteful number, since it uses less digits than its factorization.

100287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100287 is about 316.6812277354. The cubic root of 100287 is about 46.4602504566.

Adding to 100287 its reverse (782001), we get a palindrome (882288).

It can be divided in two parts, 1002 and 87, that added together give a square (1089 = 33²).

The spelling of 100287 in words is "one hundred thousand, two hundred eighty-seven".