10013004 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3060288.

The previous prime is 10012999. The next prime is 10013009. The reversal of 10013004 is 40031001.

It is an interprime number because it is at equal distance from previous prime (10012999) and next prime (10013009).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10013009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71967 + ... + 72105.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 2^10013004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10013004 is an abundant number, since it is smaller than the sum of its proper divisors (18210996).

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

10013004 is a wasteful number, since it uses less digits than its factorization.

10013004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10013004 is about 3164.3331050950. Note that the first 3 decimals coincide. The cubic root of 10013004 is about 215.5368161144.

Adding to 10013004 its reverse (40031001), we get a palindrome (50044005).

It can be divided in two parts, 1001 and 3004, that added together give a triangular number (4005 = T₈₉).

The spelling of 10013004 in words is "ten million, thirteen thousand, four".