105381124471361 has 2 divisors, whose sum is σ = 105381124471362. Its totient is φ = 105381124471360.

The previous prime is 105381124471333. The next prime is 105381124471373. The reversal of 105381124471361 is 163174421183501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89915435640625 + 15465688830736 = 9482375^2 + 3932644^2 .

It is a cyclic number.

It is not a de Polignac number, because 105381124471361 - 2³⁰ = 105380050729537 is a prime.

It is a super-2 number, since 2×105381124471361² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105381124471331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52690562235680 + 52690562235681.

It is an arithmetic number, because the mean of its divisors is an integer number (52690562235681).

Almost surely, 2^{105381124471361} is an apocalyptic number.

It is an amenable number.

105381124471361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105381124471361 is an equidigital number, since it uses as much as digits as its factorization.

105381124471361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 105381124471361 in words is "one hundred five trillion, three hundred eighty-one billion, one hundred twenty-four million, four hundred seventy-one thousand, three hundred sixty-one".