105655026214013 has 2 divisors, whose sum is σ = 105655026214014. Its totient is φ = 105655026214012.

The previous prime is 105655026213977. The next prime is 105655026214019. The reversal of 105655026214013 is 310412620556501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80374775179204 + 25280251034809 = 8965198^2 + 5027947^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655026214013 - 2⁸ = 105655026213757 is a prime.

It is a super-2 number, since 2×105655026214013² (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 (105655026214019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827513107006 + 52827513107007.

It is an arithmetic number, because the mean of its divisors is an integer number (52827513107007).

Almost surely, 2^{105655026214013} is an apocalyptic number.

It is an amenable number.

105655026214013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655026214013 is an equidigital number, since it uses as much as digits as its factorization.

105655026214013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 105655026214013 in words is "one hundred five trillion, six hundred fifty-five billion, twenty-six million, two hundred fourteen thousand, thirteen".