106569728 has 28 divisors (see below), whose sum is σ = 213142830. Its totient is φ = 53280768.

The previous prime is 106569721. The next prime is 106569733. The reversal of 106569728 is 827965601.

It can be written as a sum of positive squares in only one way, i.e., 100962304 + 5607424 = 10048^2 + 2368^2 .

It is a super-2 number, since 2×106569728² = 22714213851987968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106569721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1688 + ... + 14696.

Almost surely, 2^106569728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106571415).

106569728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106569728 is an frugal number, since it uses more digits than its factorization.

106569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 106569728 is about 10323.2615001268. The cubic root of 106569728 is about 474.1087301825.

The spelling of 106569728 in words is "one hundred six million, five hundred sixty-nine thousand, seven hundred twenty-eight".