105950 has 24 divisors (see below), whose sum is σ = 213528. Its totient is φ = 38880.

The previous prime is 105943. The next prime is 105953. The reversal of 105950 is 59501.

It is a super-2 number, since 2×105950² = 22450805000, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953) by changing a digit.

105950 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 11 ways as a sum of consecutive naturals, for example, 569 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (8897).

2¹⁰⁵⁹⁵⁰ is an apocalyptic number.

105950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 325×326.

105950 is an abundant number, since it is smaller than the sum of its proper divisors (107578).

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

105950 is a wasteful number, since it uses less digits than its factorization.

105950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105950 is about 325.4996159752. The cubic root of 105950 is about 47.3187925094.

The spelling of 105950 in words is "one hundred five thousand, nine hundred fifty".