105144257 has 2 divisors, whose sum is σ = 105144258. Its totient is φ = 105144256.

The previous prime is 105144253. The next prime is 105144287. The reversal of 105144257 is 752441501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80928016 + 24216241 = 8996^2 + 4921^2 .

It is a cyclic number.

It is not a de Polignac number, because 105144257 - 2² = 105144253 is a prime.

It is a super-2 number, since 2×105144257² = 22110629560164098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105144253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572128 + 52572129.

It is an arithmetic number, because the mean of its divisors is an integer number (52572129).

Almost surely, 2^105144257 is an apocalyptic number.

It is an amenable number.

105144257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144257 is an equidigital number, since it uses as much as digits as its factorization.

105144257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 105144257 is about 10253.9873707744. The cubic root of 105144257 is about 471.9853500792.

Adding to 105144257 its reverse (752441501), we get a palindrome (857585758).

The spelling of 105144257 in words is "one hundred five million, one hundred forty-four thousand, two hundred fifty-seven".