20002085103 has 64 divisors (see below), whose sum is σ = 36156137472. Its totient is φ = 9498142080.

The previous prime is 20002085093. The next prime is 20002085107. The reversal of 20002085103 is 30158020002.

It is not a de Polignac number, because 20002085103 - 2⁵ = 20002085071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20002085103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002085107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276976 + ... + 341642.

It is an arithmetic number, because the mean of its divisors is an integer number (564939648).

Almost surely, 2^20002085103 is an apocalyptic number.

20002085103 is a deficient number, since it is larger than the sum of its proper divisors (16154052369).

20002085103 is a wasteful number, since it uses less digits than its factorization.

20002085103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64804.

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 20002085103 in words is "twenty billion, two million, eighty-five thousand, one hundred three".