105983277913 has 2 divisors, whose sum is σ = 105983277914. Its totient is φ = 105983277912.

The previous prime is 105983277887. The next prime is 105983277937. The reversal of 105983277913 is 319772389501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63517608729 + 42465669184 = 252027^2 + 206072^2 .

It is a cyclic number.

It is not a de Polignac number, because 105983277913 - 2²¹ = 105981180761 is a prime.

It is a super-2 number, since 2×105983277913² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105983278913) 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, 52991638956 + 52991638957.

It is an arithmetic number, because the mean of its divisors is an integer number (52991638957).

Almost surely, 2^105983277913 is an apocalyptic number.

It is an amenable number.

105983277913 is a deficient number, since it is larger than the sum of its proper divisors (1).

105983277913 is an equidigital number, since it uses as much as digits as its factorization.

105983277913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 105983277913 in words is "one hundred five billion, nine hundred eighty-three million, two hundred seventy-seven thousand, nine hundred thirteen".