106844320 has 96 divisors (see below), whose sum is σ = 291646656. Its totient is φ = 36556800.

The previous prime is 106844299. The next prime is 106844341. The reversal of 106844320 is 23448601.

It is an interprime number because it is at equal distance from previous prime (106844299) and next prime (106844341).

It is a super-2 number, since 2×106844320² = 22831417432524800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 28135 + ... + 31705.

It is an arithmetic number, because the mean of its divisors is an integer number (3037986).

Almost surely, 2^106844320 is an apocalyptic number.

106844320 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 106844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145823328).

106844320 is an abundant number, since it is smaller than the sum of its proper divisors (184802336).

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

106844320 is a wasteful number, since it uses less digits than its factorization.

106844320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 106844320 is about 10336.5526168061. The cubic root of 106844320 is about 474.5155837110.

The spelling of 106844320 in words is "one hundred six million, eight hundred forty-four thousand, three hundred twenty".