22105010320 has 40 divisors (see below), whose sum is σ = 51519883320. Its totient is φ = 8820372480.

The previous prime is 22105010287. The next prime is 22105010321. The reversal of 22105010320 is 2301050122.

It can be written as a sum of positive squares in 4 ways, for example, as 10378719376 + 11726290944 = 101876^2 + 108288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22105010294 and 22105010303.

It is not an unprimeable number, because it can be changed into a prime (22105010321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305071 + ... + 370510.

It is an arithmetic number, because the mean of its divisors is an integer number (1287997083).

Almost surely, 2^22105010320 is an apocalyptic number.

22105010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105010320 is an abundant number, since it is smaller than the sum of its proper divisors (29414873000).

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

22105010320 is a wasteful number, since it uses less digits than its factorization.

22105010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676003 (or 675997 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 22105010320 its reverse (2301050122), we get a palindrome (24406060442).

The spelling of 22105010320 in words is "twenty-two billion, one hundred five million, ten thousand, three hundred twenty".