106528320 has 168 divisors, whose sum is σ = 374684544. Its totient is φ = 27767808.

The previous prime is 106528319. The next prime is 106528327. The reversal of 106528320 is 23825601.

106528320 is a `hidden beast` number, since 1 + 0 + 652 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×106528320² = 22696565924044800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106528327) by changing a digit.

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, 134967 + ... + 135753.

Almost surely, 2^106528320 is an apocalyptic number.

106528320 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 106528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342272).

106528320 is an abundant number, since it is smaller than the sum of its proper divisors (268156224).

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

106528320 is a wasteful number, since it uses less digits than its factorization.

106528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

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

The square root of 106528320 is about 10321.2557375544. The cubic root of 106528320 is about 474.0473167527.

The spelling of 106528320 in words is "one hundred six million, five hundred twenty-eight thousand, three hundred twenty".