105257557529 has 2 divisors, whose sum is σ = 105257557530. Its totient is φ = 105257557528.

The previous prime is 105257557499. The next prime is 105257557543. The reversal of 105257557529 is 925755752501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76050747529 + 29206810000 = 275773^2 + 170900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105257557529 is a prime.

It is a super-2 number, since 2×105257557529² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105257557549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52628778764 + 52628778765.

It is an arithmetic number, because the mean of its divisors is an integer number (52628778765).

Almost surely, 2^105257557529 is an apocalyptic number.

It is an amenable number.

105257557529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105257557529 is an equidigital number, since it uses as much as digits as its factorization.

105257557529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5512500, while the sum is 53.

The spelling of 105257557529 in words is "one hundred five billion, two hundred fifty-seven million, five hundred fifty-seven thousand, five hundred twenty-nine".