7105 has 12 divisors (see below), whose sum is σ = 10260. Its totient is φ = 4704.

The previous prime is 7103. The next prime is 7109. The reversal of 7105 is 5017.

7105 = T₆ + T₇ + ... + T₃₄.

7105 = 22² + 23² + ... + 31².

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 3969 = 56^2 + 63^2 .

It is not a de Polignac number, because 7105 - 2¹ = 7103 is a prime.

7105 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2⁷¹⁰⁵ is an apocalyptic number.

7105 is the 49-th octagonal number.

It is an amenable number.

7105 is a deficient number, since it is larger than the sum of its proper divisors (3155).

7105 is a wasteful number, since it uses less digits than its factorization.

With its successor (7106) it forms an eRAP, since the sums of their prime factors are consecutive (48 and 49).

7105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 7105 is about 84.2911620515. The cubic root of 7105 is about 19.2244840999.

Adding to 7105 its product of nonzero digits (35), we get a triangular number (7140 = T₁₁₉).

The spelling of 7105 in words is "seven thousand, one hundred five".