105564521600 has 96 divisors (see below), whose sum is σ = 261240171300. Its totient is φ = 42150871040.

The previous prime is 105564521591. The next prime is 105564521677. The reversal of 105564521600 is 6125465501.

It can be written as a sum of positive squares in 6 ways, for example, as 12402831424 + 93161690176 = 111368^2 + 305224^2 .

It is a super-2 number, since 2×105564521600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1791812 + ... + 1849788.

Almost surely, 2^105564521600 is an apocalyptic number.

105564521600 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 105564521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130620085650).

105564521600 is an abundant number, since it is smaller than the sum of its proper divisors (155675649700).

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

105564521600 is an equidigital number, since it uses as much as digits as its factorization.

105564521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58570 (or 58553 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 105564521600 in words is "one hundred five billion, five hundred sixty-four million, five hundred twenty-one thousand, six hundred".