105122401956743 has 2 divisors, whose sum is σ = 105122401956744. Its totient is φ = 105122401956742.

The previous prime is 105122401956731. The next prime is 105122401956749. The reversal of 105122401956743 is 347659104221501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105122401956743 - 2²⁴ = 105122385179527 is a prime.

It is a super-2 number, since 2×105122401956743² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105122401956691 and 105122401956700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105122401956749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561200978371 + 52561200978372.

It is an arithmetic number, because the mean of its divisors is an integer number (52561200978372).

Almost surely, 2^{105122401956743} is an apocalyptic number.

105122401956743 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122401956743 is an equidigital number, since it uses as much as digits as its factorization.

105122401956743 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 105122401956743 in words is "one hundred five trillion, one hundred twenty-two billion, four hundred one million, nine hundred fifty-six thousand, seven hundred forty-three".