106340320 has 96 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 40874496.

The previous prime is 106340317. The next prime is 106340327. The reversal of 106340320 is 23043601.

It is a super-3 number, since 3×106340320³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106340327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593991 + ... + 594169.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^106340320 is an apocalyptic number.

106340320 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 106340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

106340320 is an abundant number, since it is smaller than the sum of its proper divisors (154933280).

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

106340320 is a wasteful number, since it uses less digits than its factorization.

106340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 106340320 is about 10312.1442968958. The cubic root of 106340320 is about 473.7682880602.

Adding to 106340320 its reverse (23043601), we get a palindrome (129383921).

The spelling of 106340320 in words is "one hundred six million, three hundred forty thousand, three hundred twenty".