105846 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 30624.

The previous prime is 105829. The next prime is 105863. The reversal of 105846 is 648501.

It is an interprime number because it is at equal distance from previous prime (105829) and next prime (105863).

It is a super-2 number, since 2×105846² = 22406751432, which contains 22 as substring.

It is an Ulam number.

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 105846.

It is an unprimeable number.

105846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1765 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁰⁵⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

105846 is an abundant number, since it is smaller than the sum of its proper divisors (136074).

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

105846 is a wasteful number, since it uses less digits than its factorization.

105846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105846 is about 325.3398223397. The cubic root of 105846 is about 47.3033048093.

It can be divided in two parts, 10584 and 6, that multiplied together give a square (63504 = 252²).

The spelling of 105846 in words is "one hundred five thousand, eight hundred forty-six".