105840 has 120 divisors (see below), whose sum is σ = 424080. Its totient is φ = 24192.
The previous prime is 105829. The next prime is 105863. The reversal of 105840 is 48501.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1058402 = 22404211200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
105840 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 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 15123.
It is an arithmetic number, because the mean of its divisors is an integer number (3534).
2105840 is an apocalyptic number.
105840 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 105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).
105840 is an abundant number, since it is smaller than the sum of its proper divisors (318240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105840 is a wasteful number, since it uses less digits than its factorization.
105840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 105840 is about 325.3306010814. The cubic root of 105840 is about 47.3024109786.
The spelling of 105840 in words is "one hundred five thousand, eight hundred forty".
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