104958 has 48 divisors (see below), whose sum is σ = 280800. Its totient is φ = 28224.

The previous prime is 104953. The next prime is 104959. The reversal of 104958 is 859401.

It is a super-2 number, since 2×104958² = 22032363528, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104958.

It is not an unprimeable number, because it can be changed into a prime (104953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6166 + ... + 6182.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

104958 is a Friedman number, since it can be written as (90/5)^4-18, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁹⁵⁸ is an apocalyptic number.

104958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

104958 is an abundant number, since it is smaller than the sum of its proper divisors (175842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104958 is a wasteful number, since it uses less digits than its factorization.

104958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 104958 is about 323.9722210314. The cubic root of 104958 is about 47.1706487056.

The spelling of 104958 in words is "one hundred four thousand, nine hundred fifty-eight".