105725 has 6 divisors (see below), whose sum is σ = 131130. Its totient is φ = 84560.

The previous prime is 105701. The next prime is 105727. The reversal of 105725 is 527501.

It can be written as a sum of positive squares in 3 ways, for example, as 34969 + 70756 = 187^2 + 266^2 .

It is not a de Polignac number, because 105725 - 2¹⁰ = 104701 is a prime.

It is a super-2 number, since 2×105725² = 22355551250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105697 and 105706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2090 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (21855).

2¹⁰⁵⁷²⁵ is an apocalyptic number.

It is an amenable number.

105725 is a deficient number, since it is larger than the sum of its proper divisors (25405).

105725 is an equidigital number, since it uses as much as digits as its factorization.

105725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105725 is about 325.1538097578. The cubic root of 105725 is about 47.2852726924.

The spelling of 105725 in words is "one hundred five thousand, seven hundred twenty-five".