105335257 has 2 divisors, whose sum is σ = 105335258. Its totient is φ = 105335256.

The previous prime is 105335233. The next prime is 105335287. The reversal of 105335257 is 752533501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 41718681 = 7976^2 + 6459^2 .

It is an emirp because it is prime and its reverse (752533501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105335257 - 2¹⁵ = 105302489 is a prime.

It is a super-2 number, since 2×105335257² = 22191032734512098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105335207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52667628 + 52667629.

It is an arithmetic number, because the mean of its divisors is an integer number (52667629).

Almost surely, 2^105335257 is an apocalyptic number.

It is an amenable number.

105335257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105335257 is an equidigital number, since it uses as much as digits as its factorization.

105335257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 105335257 is about 10263.2965951491. The cubic root of 105335257 is about 472.2709724947.

Adding to 105335257 its reverse (752533501), we get a palindrome (857868758).

The spelling of 105335257 in words is "one hundred five million, three hundred thirty-five thousand, two hundred fifty-seven".