105188 has 6 divisors (see below), whose sum is σ = 184086. Its totient is φ = 52592.

The previous prime is 105173. The next prime is 105199. The reversal of 105188 is 881501.

It can be written as a sum of positive squares in only one way, i.e., 88804 + 16384 = 298^2 + 128^2 .

It is a super-2 number, since 2×105188² = 22129030688, which contains 22 as substring.

It is an unprimeable number.

105188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13145 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (30681).

2¹⁰⁵¹⁸⁸ is an apocalyptic number.

It is an amenable number.

105188 is a deficient number, since it is larger than the sum of its proper divisors (78898).

105188 is a wasteful number, since it uses less digits than its factorization.

105188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26301 (or 26299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 105188 is about 324.3269954845. The cubic root of 105188 is about 47.2050794112.

Adding to 105188 its reverse (881501), we get a palindrome (986689).

The spelling of 105188 in words is "one hundred five thousand, one hundred eighty-eight".