10005042221304 has 128 divisors (see below), whose sum is σ = 27318615206400. Its totient is φ = 3034829790720.

The previous prime is 10005042221299. The next prime is 10005042221309. The reversal of 10005042221304 is 40312224050001.

It is an interprime number because it is at equal distance from previous prime (10005042221299) and next prime (10005042221309).

It is a super-2 number, since 2×10005042221304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005042221309) 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, 448987747 + ... + 449010029.

It is an arithmetic number, because the mean of its divisors is an integer number (213426681300).

Almost surely, 2^{10005042221304} 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 10005042221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659307603200).

10005042221304 is an abundant number, since it is smaller than the sum of its proper divisors (17313572985096).

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

10005042221304 is a wasteful number, since it uses less digits than its factorization.

10005042221304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42645 (or 42641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10005042221304 its reverse (40312224050001), we get a palindrome (50317266271305).

The spelling of 10005042221304 in words is "ten trillion, five billion, forty-two million, two hundred twenty-one thousand, three hundred four".