105680 has 20 divisors (see below), whose sum is σ = 245892. Its totient is φ = 42240.

The previous prime is 105673. The next prime is 105683. The reversal of 105680 is 86501.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 33856 = 268^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105680² = 22336524800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 581 + ... + 740.

2¹⁰⁵⁶⁸⁰ is an apocalyptic number.

105680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105680 is an abundant number, since it is smaller than the sum of its proper divisors (140212).

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

105680 is a wasteful number, since it uses less digits than its factorization.

105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105680 is about 325.0846043725. The cubic root of 105680 is about 47.2785630235.

The spelling of 105680 in words is "one hundred five thousand, six hundred eighty".