106609728 has 112 divisors (see below), whose sum is σ = 297281600. Its totient is φ = 33675264.

The previous prime is 106609709. The next prime is 106609733. The reversal of 106609728 is 827906601.

It is a super-2 number, since 2×106609728² = 22731268208467968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305298 + ... + 305646.

It is an arithmetic number, because the mean of its divisors is an integer number (2654300).

Almost surely, 2^106609728 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 106609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148640800).

106609728 is an abundant number, since it is smaller than the sum of its proper divisors (190671872).

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

106609728 is a wasteful number, since it uses less digits than its factorization.

106609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 106609728 is about 10325.1986905822. The cubic root of 106609728 is about 474.1680402617.

The spelling of 106609728 in words is "one hundred six million, six hundred nine thousand, seven hundred twenty-eight".