105526344320 has 64 divisors (see below), whose sum is σ = 259092189000. Its totient is φ = 41069703168.

The previous prime is 105526344307. The next prime is 105526344349. The reversal of 105526344320 is 23443625501.

105526344320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104577211456 + 949132864 = 323384^2 + 30808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105526344320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2204495 + ... + 2251854.

Almost surely, 2^105526344320 is an apocalyptic number.

105526344320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105526344320 is an abundant number, since it is smaller than the sum of its proper divisors (153565844680).

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

105526344320 is an equidigital number, since it uses as much as digits as its factorization.

105526344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456405 (or 4456393 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 105526344320 its reverse (23443625501), we get a palindrome (128969969821).

The spelling of 105526344320 in words is "one hundred five billion, five hundred twenty-six million, three hundred forty-four thousand, three hundred twenty".