10003414020 has 24 divisors (see below), whose sum is σ = 28009559424. Its totient is φ = 2667577056.

The previous prime is 10003413983. The next prime is 10003414027. The reversal of 10003414020 is 2041430001.

10003414020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10003414027) 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, 83361724 + ... + 83361843.

It is an arithmetic number, because the mean of its divisors is an integer number (1167064976).

Almost surely, 2^10003414020 is an apocalyptic number.

10003414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003414020 is an abundant number, since it is smaller than the sum of its proper divisors (18006145404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003414020 is a wasteful number, since it uses less digits than its factorization.

10003414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166723579 (or 166723577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10003414020 its reverse (2041430001), we get a palindrome (12044844021).

The spelling of 10003414020 in words is "ten billion, three million, four hundred fourteen thousand, twenty".