105887 has 4 divisors (see below), whose sum is σ = 111480. Its totient is φ = 100296.

The previous prime is 105883. The next prime is 105899. The reversal of 105887 is 788501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 788501 = 7 ⋅112643.

It is a cyclic number.

It is not a de Polignac number, because 105887 - 2² = 105883 is a prime.

It is a super-2 number, since 2×105887² = 22424113538, which contains 22 as substring.

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 105887.

It is not an unprimeable number, because it can be changed into a prime (105883) 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, 2768 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (27870).

2¹⁰⁵⁸⁸⁷ is an apocalyptic number.

105887 is a deficient number, since it is larger than the sum of its proper divisors (5593).

105887 is an equidigital number, since it uses as much as digits as its factorization.

105887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 105887 is about 325.4028272772. The cubic root of 105887 is about 47.3094117481.

The spelling of 105887 in words is "one hundred five thousand, eight hundred eighty-seven".