105280320 has 112 divisors (see below), whose sum is σ = 353982528. Its totient is φ = 26419200.

The previous prime is 105280277. The next prime is 105280321. The reversal of 105280320 is 23082501.

It is a super-2 number, since 2×105280320² = 22167891558604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105280321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13095 + ... + 19545.

Almost surely, 2^105280320 is an apocalyptic number.

105280320 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 105280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176991264).

105280320 is an abundant number, since it is smaller than the sum of its proper divisors (248702208).

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

105280320 is a wasteful number, since it uses less digits than its factorization.

105280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105280320 is about 10260.6198643162. The cubic root of 105280320 is about 472.1888548101.

The spelling of 105280320 in words is "one hundred five million, two hundred eighty thousand, three hundred twenty".