105526320480 has 480 divisors, whose sum is σ = 432622935360. Its totient is φ = 23723642880.

The previous prime is 105526320469. The next prime is 105526320509. The reversal of 105526320480 is 84023625501.

105526320480 is a `hidden beast` number, since 1 + 0 + 552 + 6 + 3 + 20 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105526320480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5524386 + ... + 5543454.

It is an arithmetic number, because the mean of its divisors is an integer number (901297782).

Almost surely, 2^105526320480 is an apocalyptic number.

105526320480 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 105526320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216311467680).

105526320480 is an abundant number, since it is smaller than the sum of its proper divisors (327096614880).

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

105526320480 is a wasteful number, since it uses less digits than its factorization.

105526320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19164 (or 19147 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 105526320480 its reverse (84023625501), we get a palindrome (189549945981).

The spelling of 105526320480 in words is "one hundred five billion, five hundred twenty-six million, three hundred twenty thousand, four hundred eighty".