102087 has 16 divisors (see below), whose sum is σ = 160000. Its totient is φ = 64152.

The previous prime is 102079. The next prime is 102101. The reversal of 102087 is 780201.

It is not a de Polignac number, because 102087 - 2³ = 102079 is a prime.

It is a Duffinian 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 102087.

It is not an unprimeable number, because it can be changed into a prime (102077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (10000).

2¹⁰²⁰⁸⁷ is an apocalyptic number.

102087 is a deficient number, since it is larger than the sum of its proper divisors (57913).

102087 is a wasteful number, since it uses less digits than its factorization.

102087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

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

The square root of 102087 is about 319.5105632057. The cubic root of 102087 is about 46.7365675804.

Adding to 102087 its reverse (780201), we get a palindrome (882288).

The spelling of 102087 in words is "one hundred two thousand, eighty-seven".