105587 has 4 divisors (see below), whose sum is σ = 111816. Its totient is φ = 99360.

The previous prime is 105563. The next prime is 105601. The reversal of 105587 is 785501.

105587 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105587 - 2⁸ = 105331 is a prime.

It is a super-2 number, since 2×105587² = 22297229138, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105587.

It is not an unprimeable number, because it can be changed into a prime (105517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3089 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (27954).

2¹⁰⁵⁵⁸⁷ is an apocalyptic number.

105587 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105587 is a deficient number, since it is larger than the sum of its proper divisors (6229).

105587 is an equidigital number, since it uses as much as digits as its factorization.

105587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 105587 is about 324.9415332025. The cubic root of 105587 is about 47.2646903362.

The spelling of 105587 in words is "one hundred five thousand, five hundred eighty-seven".