105530221440 has 960 divisors, whose sum is σ = 444018754080. Its totient is φ = 23396843520.

The previous prime is 105530221427. The next prime is 105530221463. The reversal of 105530221440 is 44122035501.

105530221440 is a `hidden beast` number, since 105 + 5 + 302 + 214 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105530221440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 610001194 + ... + 610001366.

Almost surely, 2^105530221440 is an apocalyptic number.

105530221440 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 105530221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222009377040).

105530221440 is an abundant number, since it is smaller than the sum of its proper divisors (338488532640).

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

105530221440 is an equidigital number, since it uses as much as digits as its factorization.

105530221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105530221440 its reverse (44122035501), we get a palindrome (149652256941).

The spelling of 105530221440 in words is "one hundred five billion, five hundred thirty million, two hundred twenty-one thousand, four hundred forty".