105675 has 12 divisors (see below), whose sum is σ = 174840. Its totient is φ = 56320.

The previous prime is 105673. The next prime is 105683. The reversal of 105675 is 576501.

It is not a de Polignac number, because 105675 - 2¹ = 105673 is a prime.

It is a super-2 number, since 2×105675² = 22334411250, which contains 22 as substring.

105675 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (14570).

2¹⁰⁵⁶⁷⁵ is an apocalyptic number.

105675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105675 is a deficient number, since it is larger than the sum of its proper divisors (69165).

105675 is a wasteful number, since it uses less digits than its factorization.

105675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105675 is about 325.0769139758. The cubic root of 105675 is about 47.2778173872.

It can be divided in two parts, 105 and 675, that added together give a triangular number (780 = T₃₉).

The spelling of 105675 in words is "one hundred five thousand, six hundred seventy-five".