105760 has 24 divisors (see below), whose sum is σ = 250236. Its totient is φ = 42240.

The previous prime is 105751. The next prime is 105761. The reversal of 105760 is 67501.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 784 = 324^2 + 28^2 .

It is a super-2 number, since 2×105760² = 22370355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 490.

2¹⁰⁵⁷⁶⁰ is an apocalyptic number.

105760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105760 is an abundant number, since it is smaller than the sum of its proper divisors (144476).

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

105760 is an equidigital number, since it uses as much as digits as its factorization.

105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105760 is about 325.2076259868. The cubic root of 105760 is about 47.2904900076.

It can be divided in two parts, 105 and 760, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 105760 in words is "one hundred five thousand, seven hundred sixty".