10829091001 has 8 divisors (see below), whose sum is σ = 11467401984. Its totient is φ = 10190925120.

The previous prime is 10829090953. The next prime is 10829091019. The reversal of 10829091001 is 10019092801.

10829091001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10829091001 - 2¹¹ = 10829088953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10829091101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142636 + ... + 204946.

It is an arithmetic number, because the mean of its divisors is an integer number (1433425248).

Almost surely, 2^10829091001 is an apocalyptic number.

It is an amenable number.

10829091001 is a deficient number, since it is larger than the sum of its proper divisors (638310983).

10829091001 is a wasteful number, since it uses less digits than its factorization.

10829091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72551.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 10829091001 in words is "ten billion, eight hundred twenty-nine million, ninety-one thousand, one".