10820084029 has 4 divisors (see below), whose sum is σ = 10829094460. Its totient is φ = 10811073600.

The previous prime is 10820083999. The next prime is 10820084059. The reversal of 10820084029 is 92048002801.

10820084029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92048002801 = 193 ⋅476932657.

It is an interprime number because it is at equal distance from previous prime (10820083999) and next prime (10820084059).

It can be written as a sum of positive squares in 2 ways, for example, as 4917235129 + 5902848900 = 70123^2 + 76830^2 .

It is a cyclic number.

It is not a de Polignac number, because 10820084029 - 2²³ = 10811695421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10820083985 and 10820084003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820084059) 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 3 ways as a sum of consecutive naturals, for example, 4503414 + ... + 4505815.

It is an arithmetic number, because the mean of its divisors is an integer number (2707273615).

Almost surely, 2^10820084029 is an apocalyptic number.

It is an amenable number.

10820084029 is a deficient number, since it is larger than the sum of its proper divisors (9010431).

10820084029 is an equidigital number, since it uses as much as digits as its factorization.

10820084029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010430.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 10820084029 in words is "ten billion, eight hundred twenty million, eighty-four thousand, twenty-nine".