105852160 has 72 divisors (see below), whose sum is σ = 259861896. Its totient is φ = 41287680.

The previous prime is 105852157. The next prime is 105852163. The reversal of 105852160 is 61258501.

It is an interprime number because it is at equal distance from previous prime (105852157) and next prime (105852163).

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 100320256 = 2352^2 + 10016^2 .

It is a super-2 number, since 2×105852160² = 22409359553331200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105852163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51472 + ... + 53488.

It is an arithmetic number, because the mean of its divisors is an integer number (3609193).

Almost surely, 2^105852160 is an apocalyptic number.

105852160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129930948).

105852160 is an abundant number, since it is smaller than the sum of its proper divisors (154009736).

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

105852160 is an equidigital number, since it uses as much as digits as its factorization.

105852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105852160 is about 10288.4478907170. The cubic root of 105852160 is about 473.0422244024.

The spelling of 105852160 in words is "one hundred five million, eight hundred fifty-two thousand, one hundred sixty".