105958 has 8 divisors (see below), whose sum is σ = 164160. Its totient is φ = 51240.

The previous prime is 105953. The next prime is 105967. The reversal of 105958 is 859501.

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

It is a super-2 number, since 2×105958² = 22454195528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 793 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2¹⁰⁵⁹⁵⁸ is an apocalyptic number.

105958 is a deficient number, since it is larger than the sum of its proper divisors (58202).

105958 is a wasteful number, since it uses less digits than its factorization.

105958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 105958 is about 325.5119045442. The cubic root of 105958 is about 47.3199834511.

The spelling of 105958 in words is "one hundred five thousand, nine hundred fifty-eight".