10105110377 has 2 divisors, whose sum is σ = 10105110378. Its totient is φ = 10105110376.

The previous prime is 10105110313. The next prime is 10105110409. The reversal of 10105110377 is 77301150101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7526603536 + 2578506841 = 86756^2 + 50779^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105110377 - 2⁶ = 10105110313 is a prime.

It is a super-2 number, since 2×10105110377² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10105110077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052555188 + 5052555189.

It is an arithmetic number, because the mean of its divisors is an integer number (5052555189).

Almost surely, 2^10105110377 is an apocalyptic number.

It is an amenable number.

10105110377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105110377 is an equidigital number, since it uses as much as digits as its factorization.

10105110377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 26.

Adding to 10105110377 its reverse (77301150101), we get a palindrome (87406260478).

The spelling of 10105110377 in words is "ten billion, one hundred five million, one hundred ten thousand, three hundred seventy-seven".