106608320 has 168 divisors, whose sum is σ = 318631824. Its totient is φ = 33675264.

The previous prime is 106608317. The next prime is 106608347. The reversal of 106608320 is 23806601.

It is a super-2 number, since 2×106608320² = 22730667786444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 106608320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203579 + ... + 204101.

It is an arithmetic number, because the mean of its divisors is an integer number (1896618).

Almost surely, 2^106608320 is an apocalyptic number.

106608320 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 106608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159315912).

106608320 is an abundant number, since it is smaller than the sum of its proper divisors (212023504).

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

106608320 is a wasteful number, since it uses less digits than its factorization.

106608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106608320 is about 10325.1305076498. The cubic root of 106608320 is about 474.1659527988.

The spelling of 106608320 in words is "one hundred six million, six hundred eight thousand, three hundred twenty".