105407255421841 has 2 divisors, whose sum is σ = 105407255421842. Its totient is φ = 105407255421840.

The previous prime is 105407255421799. The next prime is 105407255421887. The reversal of 105407255421841 is 148124552704501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66316250223441 + 39091005198400 = 8143479^2 + 6252280^2 .

It is a cyclic number.

It is not a de Polignac number, because 105407255421841 - 2¹¹ = 105407255419793 is a prime.

It is a super-2 number, since 2×105407255421841² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105407255721841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703627710920 + 52703627710921.

It is an arithmetic number, because the mean of its divisors is an integer number (52703627710921).

Almost surely, 2^{105407255421841} is an apocalyptic number.

It is an amenable number.

105407255421841 is a deficient number, since it is larger than the sum of its proper divisors (1).

105407255421841 is an equidigital number, since it uses as much as digits as its factorization.

105407255421841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792000, while the sum is 49.

The spelling of 105407255421841 in words is "one hundred five trillion, four hundred seven billion, two hundred fifty-five million, four hundred twenty-one thousand, eight hundred forty-one".