22321003104 has 144 divisors (see below), whose sum is σ = 64245871872. Its totient is φ = 7350384384.

The previous prime is 22321003093. The next prime is 22321003109. The reversal of 22321003104 is 40130012322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×22321003104³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321003109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19192027 + ... + 19193189.

It is an arithmetic number, because the mean of its divisors is an integer number (446151888).

Almost surely, 2^22321003104 is an apocalyptic number.

22321003104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32122935936).

22321003104 is an abundant number, since it is smaller than the sum of its proper divisors (41924868768).

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

22321003104 is a wasteful number, since it uses less digits than its factorization.

22321003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22321003104 its reverse (40130012322), we get a palindrome (62451015426).

The spelling of 22321003104 in words is "twenty-two billion, three hundred twenty-one million, three thousand, one hundred four".