105963679 has 2 divisors, whose sum is σ = 105963680. Its totient is φ = 105963678.

The previous prime is 105963659. The next prime is 105963707. The reversal of 105963679 is 976369501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105963679 - 2⁵ = 105963647 is a prime.

It is a super-3 number, since 3×105963679³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105963659) 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, 52981839 + 52981840.

It is an arithmetic number, because the mean of its divisors is an integer number (52981840).

Almost surely, 2^105963679 is an apocalyptic number.

105963679 is a deficient number, since it is larger than the sum of its proper divisors (1).

105963679 is an equidigital number, since it uses as much as digits as its factorization.

105963679 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 105963679 is about 10293.8660861700. The cubic root of 105963679 is about 473.2082883444.

The spelling of 105963679 in words is "one hundred five million, nine hundred sixty-three thousand, six hundred seventy-nine".