105135 has 16 divisors (see below), whose sum is σ = 173184. Its totient is φ = 54432.

The previous prime is 105107. The next prime is 105137. The reversal of 105135 is 531501.

105135 = 143² + 144² + ... + 147².

It is not a de Polignac number, because 105135 - 2⁶ = 105071 is a prime.

It is a super-2 number, since 2×105135² = 22106736450, which contains 22 as substring.

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

105135 is a modest number, since divided by 135 gives 105 as remainder.

105135 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (10824).

2¹⁰⁵¹³⁵ is an apocalyptic number.

105135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105135 is a deficient number, since it is larger than the sum of its proper divisors (68049).

105135 is a wasteful number, since it uses less digits than its factorization.

105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

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

The square root of 105135 is about 324.2452775292. The cubic root of 105135 is about 47.1971498327.

Adding to 105135 its reverse (531501), we get a palindrome (636636).

The spelling of 105135 in words is "one hundred five thousand, one hundred thirty-five".