105852 has 12 divisors (see below), whose sum is σ = 247016. Its totient is φ = 35280.

The previous prime is 105829. The next prime is 105863. The reversal of 105852 is 258501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-5 number, since 5×105852⁵ (a number of 26 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 4399 + ... + 4422.

2¹⁰⁵⁸⁵² is an apocalyptic number.

105852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105852 is an abundant number, since it is smaller than the sum of its proper divisors (141164).

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

105852 is a wasteful number, since it uses less digits than its factorization.

105852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105852 is about 325.3490433365. The cubic root of 105852 is about 47.3041986061.

The spelling of 105852 in words is "one hundred five thousand, eight hundred fifty-two".