105251 has 2 divisors, whose sum is σ = 105252. Its totient is φ = 105250.

The previous prime is 105239. The next prime is 105253. The reversal of 105251 is 152501.

It is a strong prime.

It is an emirp because it is prime and its reverse (152501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105251 - 2¹⁴ = 88867 is a prime.

It is a super-2 number, since 2×105251² = 22155546002, which contains 22 as substring.

Together with 105253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52625 + 52626.

It is an arithmetic number, because the mean of its divisors is an integer number (52626).

2¹⁰⁵²⁵¹ is an apocalyptic number.

105251 is a deficient number, since it is larger than the sum of its proper divisors (1).

105251 is an equidigital number, since it uses as much as digits as its factorization.

105251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105251 is about 324.4241051463. The cubic root of 105251 is about 47.2145016726.

Adding to 105251 its reverse (152501), we get a palindrome (257752).

The spelling of 105251 in words is "one hundred five thousand, two hundred fifty-one".