105705967 has 4 divisors (see below), whose sum is σ = 107283736. Its totient is φ = 104128200.

The previous prime is 105705959. The next prime is 105706019. The reversal of 105705967 is 769507501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105705967 - 2³ = 105705959 is a prime.

It is a super-2 number, since 2×105705967² = 22347502918810178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105705937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788784 + ... + 788917.

It is an arithmetic number, because the mean of its divisors is an integer number (26820934).

Almost surely, 2^105705967 is an apocalyptic number.

105705967 is a deficient number, since it is larger than the sum of its proper divisors (1577769).

105705967 is an equidigital number, since it uses as much as digits as its factorization.

105705967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577768.

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 105705967 is about 10281.3407199645. The cubic root of 105705967 is about 472.8243503305.

The spelling of 105705967 in words is "one hundred five million, seven hundred five thousand, nine hundred sixty-seven".