103587 has 16 divisors (see below), whose sum is σ = 156288. Its totient is φ = 60480.

The previous prime is 103583. The next prime is 103591. The reversal of 103587 is 785301.

It is an interprime number because it is at equal distance from previous prime (103583) and next prime (103591).

It is not a de Polignac number, because 103587 - 2² = 103583 is a prime.

It is a super-3 number, since 3×103587³ = 3334548369249009, which contains 333 as substring.

103587 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103587.

It is not an unprimeable number, because it can be changed into a prime (103583) 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, 1383 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (9768).

2¹⁰³⁵⁸⁷ is an apocalyptic number.

103587 is a deficient number, since it is larger than the sum of its proper divisors (52701).

103587 is a wasteful number, since it uses less digits than its factorization.

103587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 103587 is about 321.8493436377. The cubic root of 103587 is about 46.9643610920.

Adding to 103587 its reverse (785301), we get a palindrome (888888).

The spelling of 103587 in words is "one hundred three thousand, five hundred eighty-seven".