105035 has 8 divisors (see below), whose sum is σ = 144096. Its totient is φ = 72000.

The previous prime is 105031. The next prime is 105037. The reversal of 105035 is 530501.

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

It is not a de Polignac number, because 105035 - 2² = 105031 is a prime.

It is a super-2 number, since 2×105035² = 22064702450, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105035.

It is not an unprimeable number, because it can be changed into a prime (105031) 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, 1466 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (18012).

2¹⁰⁵⁰³⁵ is an apocalyptic number.

105035 is a deficient number, since it is larger than the sum of its proper divisors (39061).

105035 is an equidigital number, since it uses as much as digits as its factorization.

105035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 105035 is about 324.0910365931. The cubic root of 105035 is about 47.1821811030.

Adding to 105035 its reverse (530501), we get a palindrome (635536).

The spelling of 105035 in words is "one hundred five thousand, thirty-five".