820108003 has 16 divisors (see below), whose sum is σ = 964416096. Its totient is φ = 687536640.

The previous prime is 820107991. The next prime is 820108019. The reversal of 820108003 is 300801028.

It is a cyclic number.

It is not a de Polignac number, because 820108003 - 2²⁵ = 786553571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820108063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194251 + ... + 198427.

It is an arithmetic number, because the mean of its divisors is an integer number (60276006).

Almost surely, 2^820108003 is an apocalyptic number.

820108003 is a deficient number, since it is larger than the sum of its proper divisors (144308093).

820108003 is a wasteful number, since it uses less digits than its factorization.

820108003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 820108003 is about 28637.5278786420. The cubic root of 820108003 is about 936.0312539026.

The spelling of 820108003 in words is "eight hundred twenty million, one hundred eight thousand, three".