105842 has 16 divisors (see below), whose sum is σ = 184032. Its totient is φ = 45120.

The previous prime is 105829. The next prime is 105863. The reversal of 105842 is 248501.

It is a super-2 number, since 2×105842² = 22405057928, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105842.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (11502).

2¹⁰⁵⁸⁴² is an apocalyptic number.

105842 is a deficient number, since it is larger than the sum of its proper divisors (78190).

105842 is a wasteful number, since it uses less digits than its factorization.

105842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105842 is about 325.3336748632. Note that the first 3 decimals coincide. The cubic root of 105842 is about 47.3027089259.

It can be divided in two parts, 105 and 842, that multiplied together give a triangular number (88410 = T₄₂₀).

The spelling of 105842 in words is "one hundred five thousand, eight hundred forty-two".