135105 has 8 divisors (see below), whose sum is σ = 216192. Its totient is φ = 72048.

The previous prime is 135101. The next prime is 135119. The reversal of 135105 is 501531.

135105 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 135105 - 2² = 135101 is a prime.

It is a super-2 number, since 2×135105² = 36506722050, which contains 22 as substring.

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: 9007 = 135105 / (1 + 3 + 5 + 1 + 0 + 5).

135105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (135101) 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, 4489 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (27024).

2¹³⁵¹⁰⁵ is an apocalyptic number.

135105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135105 is a deficient number, since it is larger than the sum of its proper divisors (81087).

135105 is an equidigital number, since it uses as much as digits as its factorization.

135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 135105 is about 367.5663205464. The cubic root of 135105 is about 51.3125747666.

Adding to 135105 its reverse (501531), we get a palindrome (636636).

The spelling of 135105 in words is "one hundred thirty-five thousand, one hundred five".