109965728 has 24 divisors (see below), whose sum is σ = 216749988. Its totient is φ = 54918144.

The previous prime is 109965727. The next prime is 109965743. The reversal of 109965728 is 827569901.

It can be written as a sum of positive squares in 2 ways, for example, as 97377424 + 12588304 = 9868^2 + 3548^2 .

It is a super-2 number, since 2×109965728² = 24184922669139968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109965721) 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 3 ways as a sum of consecutive naturals, for example, 37400 + ... + 40232.

Almost surely, 2^109965728 is an apocalyptic number.

It is an amenable number.

109965728 is a deficient number, since it is larger than the sum of its proper divisors (106784260).

109965728 is a wasteful number, since it uses less digits than its factorization.

109965728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 109965728 is about 10486.4545009264. The cubic root of 109965728 is about 479.0922194643.

The spelling of 109965728 in words is "one hundred nine million, nine hundred sixty-five thousand, seven hundred twenty-eight".