36105 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 18368.

The previous prime is 36097. The next prime is 36107. The reversal of 36105 is 50163.

36105 is nontrivially palindromic in base 14.

It is a cyclic number.

It is not a de Polignac number, because 36105 - 2³ = 36097 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (36107) 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, 394 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

36105 is a deficient number, since it is larger than the sum of its proper divisors (24375).

36105 is a wasteful number, since it uses less digits than its factorization.

36105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 36105 is about 190.0131574392. The cubic root of 36105 is about 33.0513433995.

Adding to 36105 its reverse (50163), we get a palindrome (86268).

It can be divided in two parts, 36 and 105, that added together give a palindrome (141).

The spelling of 36105 in words is "thirty-six thousand, one hundred five".