105530224000 has 128 divisors (see below), whose sum is σ = 262637743680. Its totient is φ = 42169753600.

The previous prime is 105530223983. The next prime is 105530224043. The reversal of 105530224000 is 422035501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105530224000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19565304 + ... + 19570696.

Almost surely, 2^105530224000 is an apocalyptic number.

105530224000 is a gapful number since it is divisible by the number (10) 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 105530224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131318871840).

105530224000 is an abundant number, since it is smaller than the sum of its proper divisors (157107519680).

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

105530224000 is an equidigital number, since it uses as much as digits as its factorization.

105530224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 105530224000 its reverse (422035501), we get a palindrome (105952259501).

The spelling of 105530224000 in words is "one hundred five billion, five hundred thirty million, two hundred twenty-four thousand".