105128181 has 6 divisors (see below), whose sum is σ = 151851830. Its totient is φ = 70085448.

The previous prime is 105128123. The next prime is 105128189. The reversal of 105128181 is 181821501.

It can be written as a sum of positive squares in only one way, i.e., 59444100 + 45684081 = 7710^2 + 6759^2 .

It is not a de Polignac number, because 105128181 - 2⁶ = 105128117 is a prime.

It is a super-2 number, since 2×105128181² = 22103868880737522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105128189) 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 5 ways as a sum of consecutive naturals, for example, 5840446 + ... + 5840463.

Almost surely, 2^105128181 is an apocalyptic number.

It is an amenable number.

105128181 is a deficient number, since it is larger than the sum of its proper divisors (46723649).

105128181 is a wasteful number, since it uses less digits than its factorization.

105128181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680915 (or 11680912 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 105128181 is about 10253.2034506295. The cubic root of 105128181 is about 471.9612941664.

Adding to 105128181 its reverse (181821501), we get a palindrome (286949682).

The spelling of 105128181 in words is "one hundred five million, one hundred twenty-eight thousand, one hundred eighty-one".