58106 has 8 divisors (see below), whose sum is σ = 92340. Its totient is φ = 27328.

The previous prime is 58099. The next prime is 58109. The reversal of 58106 is 60185.

58106 = 64² + 65² + ... + 75².

It can be written as a sum of positive squares in 2 ways, for example, as 58081 + 25 = 241^2 + 5^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58106.

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

58106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821 + ... + 888.

2⁵⁸¹⁰⁶ is an apocalyptic number.

58106 is a deficient number, since it is larger than the sum of its proper divisors (34234).

58106 is a wasteful number, since it uses less digits than its factorization.

58106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 58106 is about 241.0518616398. The cubic root of 58106 is about 38.7323332578.

The spelling of 58106 in words is "fifty-eight thousand, one hundred six".