105128271 has 6 divisors (see below), whose sum is σ = 151851960. Its totient is φ = 70085508.

The previous prime is 105128267. The next prime is 105128281. The reversal of 105128271 is 172821501.

105128271 is a `hidden beast` number, since 1 + 0 + 512 + 82 + 71 = 666.

It is not a de Polignac number, because 105128271 - 2² = 105128267 is a prime.

It is a super-2 number, since 2×105128271² = 22103906726898882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105128281) 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, 5840451 + ... + 5840468.

It is an arithmetic number, because the mean of its divisors is an integer number (25308660).

Almost surely, 2^105128271 is an apocalyptic number.

105128271 is a deficient number, since it is larger than the sum of its proper divisors (46723689).

105128271 is a wasteful number, since it uses less digits than its factorization.

105128271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680925 (or 11680922 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105128271 is about 10253.2078395008. The cubic root of 105128271 is about 471.9614288480.

Adding to 105128271 its reverse (172821501), we get a palindrome (277949772).

The spelling of 105128271 in words is "one hundred five million, one hundred twenty-eight thousand, two hundred seventy-one".