105075 has 18 divisors (see below), whose sum is σ = 188604. Its totient is φ = 55920.

The previous prime is 105071. The next prime is 105097. The reversal of 105075 is 570501.

It is a happy number.

It is not a de Polignac number, because 105075 - 2² = 105071 is a prime.

It is a super-2 number, since 2×105075² = 22081511250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (10478).

105075 is a Friedman number, since it can be written as 7005*15, using all its digits and the basic arithmetic operations.

2¹⁰⁵⁰⁷⁵ is an apocalyptic number.

105075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105075 is a deficient number, since it is larger than the sum of its proper divisors (83529).

105075 is a wasteful number, since it uses less digits than its factorization.

105075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105075 is about 324.1527417746. The cubic root of 105075 is about 47.1881697345.

Adding to 105075 its reverse (570501), we get a palindrome (675576).

The spelling of 105075 in words is "one hundred five thousand, seventy-five".