105680005 has 8 divisors (see below), whose sum is σ = 126887832. Its totient is φ = 84496128.

The previous prime is 105679979. The next prime is 105680011. The reversal of 105680005 is 500086501.

It can be written as a sum of positive squares in 4 ways, for example, as 17489124 + 88190881 = 4182^2 + 9391^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105680005 - 2¹⁹ = 105155717 is a prime.

It is a super-2 number, since 2×105680005² = 22336526913600050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5857 + ... + 15673.

It is an arithmetic number, because the mean of its divisors is an integer number (15860979).

Almost surely, 2^105680005 is an apocalyptic number.

It is an amenable number.

105680005 is a deficient number, since it is larger than the sum of its proper divisors (21207827).

105680005 is an equidigital number, since it uses as much as digits as its factorization.

105680005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105680005 is about 10280.0780639059. The cubic root of 105680005 is about 472.7856376913.

The spelling of 105680005 in words is "one hundred five million, six hundred eighty thousand, five".