22050105000 has 640 divisors, whose sum is σ = 91014865920. Its totient is φ = 4308480000.

The previous prime is 22050104939. The next prime is 22050105013. The reversal of 22050105000 is 50105022.

22050105000 is a nontrivial binomial coefficient, being equal to C(210001, 2).

It is a super-2 number, since 2×22050105000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19634439 + ... + 19635561.

It is an arithmetic number, because the mean of its divisors is an integer number (142210728).

Almost surely, 2^22050105000 is an apocalyptic number.

22050105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22050105000 is the 210000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45507432960).

22050105000 is an abundant number, since it is smaller than the sum of its proper divisors (68964760920).

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

22050105000 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (22050104999) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1187).

22050105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 22050105000 in words is "twenty-two billion, fifty million, one hundred five thousand".