105131442172609 has 2 divisors, whose sum is σ = 105131442172610. Its totient is φ = 105131442172608.

The previous prime is 105131442172573. The next prime is 105131442172633. The reversal of 105131442172609 is 906271244131501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83304465528384 + 21826976644225 = 9127128^2 + 4671935^2 .

It is an emirp because it is prime and its reverse (906271244131501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105131442172609 - 2⁷ = 105131442172481 is a prime.

It is a super-2 number, since 2×105131442172609² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105131442172409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565721086304 + 52565721086305.

It is an arithmetic number, because the mean of its divisors is an integer number (52565721086305).

Almost surely, 2^{105131442172609} is an apocalyptic number.

It is an amenable number.

105131442172609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105131442172609 is an equidigital number, since it uses as much as digits as its factorization.

105131442172609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 105131442172609 in words is "one hundred five trillion, one hundred thirty-one billion, four hundred forty-two million, one hundred seventy-two thousand, six hundred nine".