105520320 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 26459136.

The previous prime is 105520279. The next prime is 105520333. The reversal of 105520320 is 23025501.

It is a happy number.

It is a super-2 number, since 2×105520320² = 22269075865804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105520293 and 105520302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788451 + ... + 1788509.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^105520320 is an apocalyptic number.

105520320 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 105520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

105520320 is an abundant number, since it is smaller than the sum of its proper divisors (293889600).

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

105520320 is an equidigital number, since it uses as much as digits as its factorization.

105520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105520320 is about 10272.3084065852. The cubic root of 105520320 is about 472.5473875375.

Adding to 105520320 its reverse (23025501), we get a palindrome (128545821).

The spelling of 105520320 in words is "one hundred five million, five hundred twenty thousand, three hundred twenty".