105843360 has 288 divisors, whose sum is σ = 408481920. Its totient is φ = 22560768.

The previous prime is 105843341. The next prime is 105843373. The reversal of 105843360 is 63348501.

It is a super-2 number, since 2×105843360² = 22405633712179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970986 + ... + 971094.

It is an arithmetic number, because the mean of its divisors is an integer number (1418340).

Almost surely, 2^105843360 is an apocalyptic number.

105843360 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 105843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204240960).

105843360 is an abundant number, since it is smaller than the sum of its proper divisors (302638560).

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

105843360 is a wasteful number, since it uses less digits than its factorization.

105843360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105843360 is about 10288.0202177095. The cubic root of 105843360 is about 473.0291152795.

The spelling of 105843360 in words is "one hundred five million, eight hundred forty-three thousand, three hundred sixty".