22105135104 has 288 divisors, whose sum is σ = 65046618000. Its totient is φ = 6670909440.

The previous prime is 22105135093. The next prime is 22105135109. The reversal of 22105135104 is 40153150122.

It is a happy number.

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 (22105135109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63338322 + ... + 63338670.

Almost surely, 2^22105135104 is an apocalyptic number.

22105135104 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 22105135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32523309000).

22105135104 is an abundant number, since it is smaller than the sum of its proper divisors (42941482896).

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

22105135104 is a wasteful number, since it uses less digits than its factorization.

22105135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 22105135104 its reverse (40153150122), we get a palindrome (62258285226).

The spelling of 22105135104 in words is "twenty-two billion, one hundred five million, one hundred thirty-five thousand, one hundred four".