10729089 has 18 divisors (see below), whose sum is σ = 18028530. Its totient is φ = 6130656.

The previous prime is 10729067. The next prime is 10729093. The reversal of 10729089 is 98092701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 540225 = 3192^2 + 735^2 .

It is not a de Polignac number, because 10729089 - 2⁹ = 10728577 is a prime.

It is a super-2 number, since 2×10729089² = 230226701539842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10729049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11724 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (1001585).

Almost surely, 2^10729089 is an apocalyptic number.

It is an amenable number.

10729089 is a deficient number, since it is larger than the sum of its proper divisors (7299441).

10729089 is a wasteful number, since it uses less digits than its factorization.

10729089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24349 (or 24339 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10729089 is about 3275.5288122683. The cubic root of 10729089 is about 220.5570525082.

The spelling of 10729089 in words is "ten million, seven hundred twenty-nine thousand, eighty-nine".