105852118 has 16 divisors (see below), whose sum is σ = 165926880. Its totient is φ = 50550016.

The previous prime is 105852113. The next prime is 105852121. The reversal of 105852118 is 811258501.

105852118 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×105852118² = 22409341770171848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105852118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105852113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41496 + ... + 43972.

It is an arithmetic number, because the mean of its divisors is an integer number (10370430).

Almost surely, 2^105852118 is an apocalyptic number.

105852118 is a deficient number, since it is larger than the sum of its proper divisors (60074762).

105852118 is a wasteful number, since it uses less digits than its factorization.

105852118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 3200, while the sum is 31.

The square root of 105852118 is about 10288.4458495926. The cubic root of 105852118 is about 473.0421618379.

The spelling of 105852118 in words is "one hundred five million, eight hundred fifty-two thousand, one hundred eighteen".