10105255757 has 2 divisors, whose sum is σ = 10105255758. Its totient is φ = 10105255756.

The previous prime is 10105255751. The next prime is 10105255763. The reversal of 10105255757 is 75755250101.

It is a balanced prime because it is at equal distance from previous prime (10105255751) and next prime (10105255763).

It can be written as a sum of positive squares in only one way, i.e., 8254449316 + 1850806441 = 90854^2 + 43021^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105255757 - 2³² = 5810288461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105255757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105255751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052627878 + 5052627879.

It is an arithmetic number, because the mean of its divisors is an integer number (5052627879).

Almost surely, 2^10105255757 is an apocalyptic number.

It is an amenable number.

10105255757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105255757 is an equidigital number, since it uses as much as digits as its factorization.

10105255757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61250, while the sum is 38.

The spelling of 10105255757 in words is "ten billion, one hundred five million, two hundred fifty-five thousand, seven hundred fifty-seven".