105056105177 has 2 divisors, whose sum is σ = 105056105178. Its totient is φ = 105056105176.

The previous prime is 105056105171. The next prime is 105056105299. The reversal of 105056105177 is 771501650501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81054659401 + 24001445776 = 284701^2 + 154924^2 .

It is a cyclic number.

It is not a de Polignac number, because 105056105177 - 2⁸ = 105056104921 is a prime.

It is a super-2 number, since 2×105056105177² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105056105177.

It is not a weakly prime, because it can be changed into another prime (105056105171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52528052588 + 52528052589.

It is an arithmetic number, because the mean of its divisors is an integer number (52528052589).

Almost surely, 2^105056105177 is an apocalyptic number.

It is an amenable number.

105056105177 is a deficient number, since it is larger than the sum of its proper divisors (1).

105056105177 is an equidigital number, since it uses as much as digits as its factorization.

105056105177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 38.

Adding to 105056105177 its reverse (771501650501), we get a palindrome (876557755678).

The spelling of 105056105177 in words is "one hundred five billion, fifty-six million, one hundred five thousand, one hundred seventy-seven".