105444084346361 has 2 divisors, whose sum is σ = 105444084346362. Its totient is φ = 105444084346360.

The previous prime is 105444084346319. The next prime is 105444084346387. The reversal of 105444084346361 is 163643480444501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78060423302761 + 27383661043600 = 8835181^2 + 5232940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105444084346361 is a prime.

It is a super-2 number, since 2×105444084346361² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105444084346301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52722042173180 + 52722042173181.

It is an arithmetic number, because the mean of its divisors is an integer number (52722042173181).

Almost surely, 2^{105444084346361} is an apocalyptic number.

It is an amenable number.

105444084346361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105444084346361 is an equidigital number, since it uses as much as digits as its factorization.

105444084346361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13271040, while the sum is 53.

The spelling of 105444084346361 in words is "one hundred five trillion, four hundred forty-four billion, eighty-four million, three hundred forty-six thousand, three hundred sixty-one".