105053715065977 has 2 divisors, whose sum is σ = 105053715065978. Its totient is φ = 105053715065976.

The previous prime is 105053715065951. The next prime is 105053715066037. The reversal of 105053715065977 is 779560517350501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93148344492921 + 11905370573056 = 9651339^2 + 3450416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105053715065977 is a prime.

It is a super-2 number, since 2×105053715065977² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105053715065777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52526857532988 + 52526857532989.

It is an arithmetic number, because the mean of its divisors is an integer number (52526857532989).

Almost surely, 2^{105053715065977} is an apocalyptic number.

It is an amenable number.

105053715065977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105053715065977 is an equidigital number, since it uses as much as digits as its factorization.

105053715065977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34728750, while the sum is 61.

The spelling of 105053715065977 in words is "one hundred five trillion, fifty-three billion, seven hundred fifteen million, sixty-five thousand, nine hundred seventy-seven".