105053715066037 has 2 divisors, whose sum is σ = 105053715066038. Its totient is φ = 105053715066036.

The previous prime is 105053715065977. The next prime is 105053715066059. The reversal of 105053715066037 is 730660517350501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67410569635236 + 37643145430801 = 8210394^2 + 6135401^2 .

It is a cyclic number.

It is not a de Polignac number, because 105053715066037 - 2³¹ = 105051567582389 is a prime.

It is a super-2 number, since 2×105053715066037² (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 (105053715066077) 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, 52526857533018 + 52526857533019.

It is an arithmetic number, because the mean of its divisors is an integer number (52526857533019).

Almost surely, 2^{105053715066037} is an apocalyptic number.

It is an amenable number.

105053715066037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105053715066037 is an equidigital number, since it uses as much as digits as its factorization.

105053715066037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1984500, while the sum is 49.

The spelling of 105053715066037 in words is "one hundred five trillion, fifty-three billion, seven hundred fifteen million, sixty-six thousand, thirty-seven".