10500829 has 8 divisors (see below), whose sum is σ = 10739520. Its totient is φ = 10264800.

The previous prime is 10500817. The next prime is 10500839. The reversal of 10500829 is 92800501.

10500829 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 10500829 - 2⁷ = 10500701 is a prime.

It is a super-2 number, since 2×10500829² = 220534819374482, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8737 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (1342440).

Almost surely, 2^10500829 is an apocalyptic number.

It is an amenable number.

10500829 is a deficient number, since it is larger than the sum of its proper divisors (238691).

10500829 is a wasteful number, since it uses less digits than its factorization.

10500829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10500829 is about 3240.4982641563. The cubic root of 10500829 is about 218.9817197338.

The spelling of 10500829 in words is "ten million, five hundred thousand, eight hundred twenty-nine".