105345223561 has 2 divisors, whose sum is σ = 105345223562. Its totient is φ = 105345223560.

The previous prime is 105345223547. The next prime is 105345223573. The reversal of 105345223561 is 165322543501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95468640400 + 9876583161 = 308980^2 + 99381^2 .

It is a cyclic number.

It is not a de Polignac number, because 105345223561 - 2³³ = 96755288969 is a prime.

It is a super-2 number, since 2×105345223561² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105345223561.

It is not a weakly prime, because it can be changed into another prime (105345223541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672611780 + 52672611781.

It is an arithmetic number, because the mean of its divisors is an integer number (52672611781).

Almost surely, 2^105345223561 is an apocalyptic number.

It is an amenable number.

105345223561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345223561 is an equidigital number, since it uses as much as digits as its factorization.

105345223561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 105345223561 in words is "one hundred five billion, three hundred forty-five million, two hundred twenty-three thousand, five hundred sixty-one".