105182 has 16 divisors (see below), whose sum is σ = 196992. Its totient is φ = 40920.

The previous prime is 105173. The next prime is 105199. The reversal of 105182 is 281501.

It is a super-2 number, since 2×105182² = 22126506248, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 105182.

It is a congruent number.

It is an unprimeable number.

105182 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 7 ways as a sum of consecutive naturals, for example, 188 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2¹⁰⁵¹⁸² is an apocalyptic number.

105182 is a deficient number, since it is larger than the sum of its proper divisors (91810).

105182 is a wasteful number, since it uses less digits than its factorization.

105182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105182 is about 324.3177454288. The cubic root of 105182 is about 47.2041818568.

Adding to 105182 its reverse (281501), we get a palindrome (386683).

It can be divided in two parts, 105 and 182, that multiplied together give a triangular number (19110 = T₁₉₅).

The spelling of 105182 in words is "one hundred five thousand, one hundred eighty-two".