106582320 has 240 divisors, whose sum is σ = 394037280. Its totient is φ = 25657344.

The previous prime is 106582313. The next prime is 106582321. The reversal of 106582320 is 23285601.

106582320 is a `hidden beast` number, since 1 + 0 + 658 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106582320² = 22719581873164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106582321) 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 47 ways as a sum of consecutive naturals, for example, 552144 + ... + 552336.

It is an arithmetic number, because the mean of its divisors is an integer number (1641822).

Almost surely, 2^106582320 is an apocalyptic number.

106582320 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 106582320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197018640).

106582320 is an abundant number, since it is smaller than the sum of its proper divisors (287454960).

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

106582320 is a wasteful number, since it uses less digits than its factorization.

106582320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106582320 is about 10323.8713668856. The cubic root of 106582320 is about 474.1274025958.

The spelling of 106582320 in words is "one hundred six million, five hundred eighty-two thousand, three hundred twenty".