105940 has 12 divisors (see below), whose sum is σ = 222516. Its totient is φ = 42368.

The previous prime is 105929. The next prime is 105943. The reversal of 105940 is 49501.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 42436 = 252^2 + 206^2 .

It is a super-2 number, since 2×105940² = 22446567200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105943) 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, 2629 + ... + 2668.

It is an arithmetic number, because the mean of its divisors is an integer number (18543).

2¹⁰⁵⁹⁴⁰ is an apocalyptic number.

105940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105940 is an abundant number, since it is smaller than the sum of its proper divisors (116576).

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

105940 is a wasteful number, since it uses less digits than its factorization.

105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105940 is about 325.4842546115. The cubic root of 105940 is about 47.3173037480.

The spelling of 105940 in words is "one hundred five thousand, nine hundred forty".