105880067 has 2 divisors, whose sum is σ = 105880068. Its totient is φ = 105880066.

The previous prime is 105880057. The next prime is 105880069. The reversal of 105880067 is 760088501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105880067 - 2¹² = 105875971 is a prime.

It is a super-2 number, since 2×105880067² = 22421177175848978, which contains 22 as substring.

Together with 105880069, 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 (105880069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52940033 + 52940034.

It is an arithmetic number, because the mean of its divisors is an integer number (52940034).

Almost surely, 2^105880067 is an apocalyptic number.

105880067 is a deficient number, since it is larger than the sum of its proper divisors (1).

105880067 is an equidigital number, since it uses as much as digits as its factorization.

105880067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 105880067 is about 10289.8040311757. The cubic root of 105880067 is about 473.0837919037.

The spelling of 105880067 in words is "one hundred five million, eight hundred eighty thousand, sixty-seven".