35105 has 16 divisors (see below), whose sum is σ = 51840. Its totient is φ = 22272.

The previous prime is 35099. The next prime is 35107. The reversal of 35105 is 50153.

35105 is nontrivially palindromic in base 9.

It is a cyclic number.

It is not a de Polignac number, because 35105 - 2⁴ = 35089 is a prime.

It is a super-2 number, since 2×35105² = 2464722050, which contains 22 as substring.

35105 is a modest number, since divided by 105 gives 35 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 35105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35105.

It is not an unprimeable number, because it can be changed into a prime (35107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2³⁵¹⁰⁵ is an apocalyptic number.

35105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35105 is a deficient number, since it is larger than the sum of its proper divisors (16735).

35105 is a wasteful number, since it uses less digits than its factorization.

35105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

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

The square root of 35105 is about 187.3632834896. The cubic root of 35105 is about 32.7433411087.

Adding to 35105 its reverse (50153), we get a palindrome (85258).

The spelling of 35105 in words is "thirty-five thousand, one hundred five".