105920 has 28 divisors (see below), whose sum is σ = 252984. Its totient is φ = 42240.

The previous prime is 105913. The next prime is 105929. The reversal of 105920 is 29501.

It is a super-2 number, since 2×105920² = 22438092800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105920.

It is not an unprimeable number, because it can be changed into a prime (105929) by changing a digit.

105920 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 3 ways as a sum of consecutive naturals, for example, 155 + ... + 485.

2¹⁰⁵⁹²⁰ is an apocalyptic number.

105920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126492).

105920 is an abundant number, since it is smaller than the sum of its proper divisors (147064).

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

105920 is an equidigital number, since it uses as much as digits as its factorization.

105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105920 is about 325.4535297089. The cubic root of 105920 is about 47.3143259441.

The spelling of 105920 in words is "one hundred five thousand, nine hundred twenty".