58105 has 4 divisors (see below), whose sum is σ = 69732. Its totient is φ = 46480.

The previous prime is 58099. The next prime is 58109. The reversal of 58105 is 50185.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50185 = 5 ⋅10037.

It can be written as a sum of positive squares in 2 ways, for example, as 11449 + 46656 = 107^2 + 216^2 .

It is not a de Polignac number, because 58105 - 2⁵ = 58073 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5806 + ... + 5815.

It is an arithmetic number, because the mean of its divisors is an integer number (17433).

2⁵⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

58105 is a deficient number, since it is larger than the sum of its proper divisors (11627).

58105 is a wasteful number, since it uses less digits than its factorization.

58105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 58105 is about 241.0497873884. The cubic root of 58105 is about 38.7321110630.

The spelling of 58105 in words is "fifty-eight thousand, one hundred five".