105444377317 has 2 divisors, whose sum is σ = 105444377318. Its totient is φ = 105444377316.

The previous prime is 105444377281. The next prime is 105444377323. The reversal of 105444377317 is 713773444501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97274748321 + 8169628996 = 311889^2 + 90386^2 .

It is a cyclic number.

It is not a de Polignac number, because 105444377317 - 2¹⁹ = 105443853029 is a prime.

It is a super-2 number, since 2×105444377317² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105444372317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52722188658 + 52722188659.

It is an arithmetic number, because the mean of its divisors is an integer number (52722188659).

Almost surely, 2^105444377317 is an apocalyptic number.

It is an amenable number.

105444377317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105444377317 is an equidigital number, since it uses as much as digits as its factorization.

105444377317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 46.

It can be divided in two parts, 1054443 and 77317, that added together give a triangular number (1131760 = T₁₅₀₄).

The spelling of 105444377317 in words is "one hundred five billion, four hundred forty-four million, three hundred seventy-seven thousand, three hundred seventeen".