105238871 has 2 divisors, whose sum is σ = 105238872. Its totient is φ = 105238870.

The previous prime is 105238817. The next prime is 105238873. The reversal of 105238871 is 178832501.

Together with previous prime (105238817) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (178832501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105238871 is a prime.

It is a super-2 number, since 2×105238871² = 22150439938709282, which contains 22 as substring.

Together with 105238873, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6045677 and since 105238871 and 6045677 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105238873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52619435 + 52619436.

It is an arithmetic number, because the mean of its divisors is an integer number (52619436).

Almost surely, 2^105238871 is an apocalyptic number.

105238871 is a deficient number, since it is larger than the sum of its proper divisors (1).

105238871 is an equidigital number, since it uses as much as digits as its factorization.

105238871 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 105238871 is about 10258.5998557308. The cubic root of 105238871 is about 472.1268795524.

The spelling of 105238871 in words is "one hundred five million, two hundred thirty-eight thousand, eight hundred seventy-one".