105777674040607 has 2 divisors, whose sum is σ = 105777674040608. Its totient is φ = 105777674040606.

The previous prime is 105777674040583. The next prime is 105777674040611. The reversal of 105777674040607 is 706040476777501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105777674040607 - 2¹⁵ = 105777674007839 is a prime.

It is a super-2 number, since 2×105777674040607² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105777674040637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52888837020303 + 52888837020304.

It is an arithmetic number, because the mean of its divisors is an integer number (52888837020304).

Almost surely, 2^{105777674040607} is an apocalyptic number.

105777674040607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105777674040607 is an equidigital number, since it uses as much as digits as its factorization.

105777674040607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48404160, while the sum is 61.

The spelling of 105777674040607 in words is "one hundred five trillion, seven hundred seventy-seven billion, six hundred seventy-four million, forty thousand, six hundred seven".