106331328 has 84 divisors (see below), whose sum is σ = 322737480. Its totient is φ = 33355776.

The previous prime is 106331299. The next prime is 106331359. The reversal of 106331328 is 823133601.

It is a happy number.

106331328 is a `hidden beast` number, since 1 + 0 + 6 + 331 + 328 = 666.

It is a super-2 number, since 2×106331328² = 22612702628487168, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4363 + ... + 15221.

Almost surely, 2^106331328 is an apocalyptic number.

106331328 is a gapful number since it is divisible by the number (18) 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 106331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161368740).

106331328 is an abundant number, since it is smaller than the sum of its proper divisors (216406152).

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

106331328 is a wasteful number, since it uses less digits than its factorization.

106331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10881 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106331328 is about 10311.7082968827. The cubic root of 106331328 is about 473.7549339391.

Adding to 106331328 its reverse (823133601), we get a palindrome (929464929).

The spelling of 106331328 in words is "one hundred six million, three hundred thirty-one thousand, three hundred twenty-eight".