27105 has 16 divisors (see below), whose sum is σ = 47040. Its totient is φ = 13248.

The previous prime is 27103. The next prime is 27107. The reversal of 27105 is 50172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27103) and next prime (27107).

It is not a de Polignac number, because 27105 - 2¹ = 27103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

27105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (27103) 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, 126 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2²⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

27105 is a deficient number, since it is larger than the sum of its proper divisors (19935).

27105 is a wasteful number, since it uses less digits than its factorization.

27105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 27105 is about 164.6359620496. The cubic root of 27105 is about 30.0388385860.

Adding to 27105 its reverse (50172), we get a palindrome (77277).

The spelling of 27105 in words is "twenty-seven thousand, one hundred five".