105242251 has 2 divisors, whose sum is σ = 105242252. Its totient is φ = 105242250.

The previous prime is 105242239. The next prime is 105242261. The reversal of 105242251 is 152242501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105242251 - 2⁵ = 105242219 is a prime.

It is a super-2 number, since 2×105242251² = 22151862791094002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105242261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52621125 + 52621126.

It is an arithmetic number, because the mean of its divisors is an integer number (52621126).

Almost surely, 2^105242251 is an apocalyptic number.

105242251 is a deficient number, since it is larger than the sum of its proper divisors (1).

105242251 is an equidigital number, since it uses as much as digits as its factorization.

105242251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 105242251 is about 10258.7645942384. The cubic root of 105242251 is about 472.1319339958.

Adding to 105242251 its reverse (152242501), we get a palindrome (257484752).

The spelling of 105242251 in words is "one hundred five million, two hundred forty-two thousand, two hundred fifty-one".