105990 has 16 divisors (see below), whose sum is σ = 254448. Its totient is φ = 28256.

The previous prime is 105983. The next prime is 105997. The reversal of 105990 is 99501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105983) and next prime (105997).

It is a super-2 number, since 2×105990² = 22467760200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 105990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105997) by changing a digit.

105990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737 + ... + 1796.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2¹⁰⁵⁹⁹⁰ is an apocalyptic number.

105990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105990 is an abundant number, since it is smaller than the sum of its proper divisors (148458).

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

105990 is a wasteful number, since it uses less digits than its factorization.

105990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 105990 is about 325.5610541819. The cubic root of 105990 is about 47.3247466185.

The spelling of 105990 in words is "one hundred five thousand, nine hundred ninety".