108105 has 8 divisors (see below), whose sum is σ = 172992. Its totient is φ = 57648.

The previous prime is 108089. The next prime is 108107. The reversal of 108105 is 501801.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 108105 - 2⁴ = 108089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 7207 = 108105 / (1 + 0 + 8 + 1 + 0 + 5).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3589 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (21624).

2¹⁰⁸¹⁰⁵ is an apocalyptic number.

108105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108105 is a deficient number, since it is larger than the sum of its proper divisors (64887).

108105 is an equidigital number, since it uses as much as digits as its factorization.

108105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 108105 is about 328.7932481059. The cubic root of 108105 is about 47.6374596261.

Adding to 108105 its reverse (501801), we get a palindrome (609906).

The spelling of 108105 in words is "one hundred eight thousand, one hundred five".