105680768 has 32 divisors (see below), whose sum is σ = 219695760. Its totient is φ = 50541568.

The previous prime is 105680761. The next prime is 105680779. The reversal of 105680768 is 867086501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105680768² = 22336849450139648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105680761) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15005 + ... + 20892.

Almost surely, 2^105680768 is an apocalyptic number.

It is an amenable number.

105680768 is an abundant number, since it is smaller than the sum of its proper divisors (114014992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105680768 is an equidigital number, since it uses as much as digits as its factorization.

105680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35934 (or 35922 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 105680768 is about 10280.1151744521. The cubic root of 105680768 is about 472.7867755116.

The spelling of 105680768 in words is "one hundred five million, six hundred eighty thousand, seven hundred sixty-eight".