105243144320 has 64 divisors (see below), whose sum is σ = 251645630040. Its totient is φ = 42089103360.

The previous prime is 105243144299. The next prime is 105243144329. The reversal of 105243144320 is 23441342501.

It can be written as a sum of positive squares in 4 ways, for example, as 78637619776 + 26605524544 = 280424^2 + 163112^2 .

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

It is a super-2 number, since 2×105243144320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105243144329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135154 + ... + 4160526.

Almost surely, 2^105243144320 is an apocalyptic number.

105243144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105243144320 is an abundant number, since it is smaller than the sum of its proper divisors (146402485720).

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

105243144320 is an equidigital number, since it uses as much as digits as its factorization.

105243144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31873 (or 31861 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 105243144320 its reverse (23441342501), we get a palindrome (128684486821).

The spelling of 105243144320 in words is "one hundred five billion, two hundred forty-three million, one hundred forty-four thousand, three hundred twenty".