105260814257 has 2 divisors, whose sum is σ = 105260814258. Its totient is φ = 105260814256.

The previous prime is 105260814229. The next prime is 105260814287. The reversal of 105260814257 is 752418062501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62504500081 + 42756314176 = 250009^2 + 206776^2 .

It is a cyclic number.

It is not a de Polignac number, because 105260814257 - 2⁶ = 105260814193 is a prime.

It is a super-2 number, since 2×105260814257² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105260814287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52630407128 + 52630407129.

It is an arithmetic number, because the mean of its divisors is an integer number (52630407129).

Almost surely, 2^105260814257 is an apocalyptic number.

It is an amenable number.

105260814257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105260814257 is an equidigital number, since it uses as much as digits as its factorization.

105260814257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 134400, while the sum is 41.

Adding to 105260814257 its reverse (752418062501), we get a palindrome (857678876758).

The spelling of 105260814257 in words is "one hundred five billion, two hundred sixty million, eight hundred fourteen thousand, two hundred fifty-seven".