105965567 has 2 divisors, whose sum is σ = 105965568. Its totient is φ = 105965566.

The previous prime is 105965543. The next prime is 105965579. The reversal of 105965567 is 765569501.

It is a strong prime.

It is an emirp because it is prime and its reverse (765569501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105965567 is a prime.

It is a super-2 number, since 2×105965567² = 22457402779262978, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105965537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52982783 + 52982784.

It is an arithmetic number, because the mean of its divisors is an integer number (52982784).

Almost surely, 2^105965567 is an apocalyptic number.

105965567 is a deficient number, since it is larger than the sum of its proper divisors (1).

105965567 is an equidigital number, since it uses as much as digits as its factorization.

105965567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 283500, while the sum is 44.

The square root of 105965567 is about 10293.9577908596. The cubic root of 105965567 is about 473.2110987789.

The spelling of 105965567 in words is "one hundred five million, nine hundred sixty-five thousand, five hundred sixty-seven".