1003004101 has 16 divisors (see below), whose sum is σ = 1142208000. Its totient is φ = 872467200.

The previous prime is 1003004099. The next prime is 1003004113. The reversal of 1003004101 is 1014003001.

It is a happy number.

It is not a de Polignac number, because 1003004101 - 2¹ = 1003004099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003004161) 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, 13825 + ... + 46873.

It is an arithmetic number, because the mean of its divisors is an integer number (71388000).

Almost surely, 2^1003004101 is an apocalyptic number.

1003004101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003004101 is a deficient number, since it is larger than the sum of its proper divisors (139203899).

1003004101 is a wasteful number, since it uses less digits than its factorization.

1003004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33180.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1003004101 is about 31670.2399896180. The cubic root of 1003004101 is about 1001.0003659343. Note that the first 3 decimals are identical.

Adding to 1003004101 its reverse (1014003001), we get a palindrome (2017007102).

It can be divided in two parts, 100300 and 4101, that added together give a palindrome (104401).

The spelling of 1003004101 in words is "one billion, three million, four thousand, one hundred one".