105642031217 has 2 divisors, whose sum is σ = 105642031218. Its totient is φ = 105642031216.

The previous prime is 105642031133. The next prime is 105642031219. The reversal of 105642031217 is 712130246501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58604663056 + 47037368161 = 242084^2 + 216881^2 .

It is a cyclic number.

It is not a de Polignac number, because 105642031217 - 2¹⁴ = 105642014833 is a prime.

It is a super-2 number, since 2×105642031217² (a number of 23 digits) contains 22 as substring.

Together with 105642031219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105642031219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52821015608 + 52821015609.

It is an arithmetic number, because the mean of its divisors is an integer number (52821015609).

Almost surely, 2^105642031217 is an apocalyptic number.

It is an amenable number.

105642031217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105642031217 is an equidigital number, since it uses as much as digits as its factorization.

105642031217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 105642031217 its reverse (712130246501), we get a palindrome (817772277718).

The spelling of 105642031217 in words is "one hundred five billion, six hundred forty-two million, thirty-one thousand, two hundred seventeen".