105987 has 16 divisors (see below), whose sum is σ = 166400. Its totient is φ = 59976.

The previous prime is 105983. The next prime is 105997. The reversal of 105987 is 789501.

It is not a de Polignac number, because 105987 - 2² = 105983 is a prime.

It is a super-2 number, since 2×105987² = 22466488338, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 7.

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 105987.

It is not an unprimeable number, because it can be changed into a prime (105983) 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, 978 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

2¹⁰⁵⁹⁸⁷ is an apocalyptic number.

105987 is a deficient number, since it is larger than the sum of its proper divisors (60413).

105987 is an equidigital number, since it uses as much as digits as its factorization.

105987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 105987 is about 325.5564467185. The cubic root of 105987 is about 47.3243001122.

The spelling of 105987 in words is "one hundred five thousand, nine hundred eighty-seven".