105966019 has 2 divisors, whose sum is σ = 105966020. Its totient is φ = 105966018.

The previous prime is 105965999. The next prime is 105966023. The reversal of 105966019 is 910669501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105966019 - 2¹¹ = 105963971 is a prime.

It is a super-2 number, since 2×105966019² = 22457594365416722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105966079) 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, 52983009 + 52983010.

It is an arithmetic number, because the mean of its divisors is an integer number (52983010).

Almost surely, 2^105966019 is an apocalyptic number.

105966019 is a deficient number, since it is larger than the sum of its proper divisors (1).

105966019 is an equidigital number, since it uses as much as digits as its factorization.

105966019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 105966019 is about 10293.9797454629. The cubic root of 105966019 is about 473.2117716110.

The spelling of 105966019 in words is "one hundred five million, nine hundred sixty-six thousand, nineteen".