105341144320 has 36 divisors (see below), whose sum is σ = 252324962820. Its totient is φ = 42136457216.

The previous prime is 105341144309. The next prime is 105341144341. The reversal of 105341144320 is 23441143501.

It can be written as a sum of positive squares in 2 ways, for example, as 70051267584 + 35289876736 = 264672^2 + 187856^2 .

It is a super-2 number, since 2×105341144320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41147605 + ... + 41150164.

It is an arithmetic number, because the mean of its divisors is an integer number (7009026745).

Almost surely, 2^105341144320 is an apocalyptic number.

105341144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105341144320 is an abundant number, since it is smaller than the sum of its proper divisors (146983818500).

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

105341144320 is an frugal number, since it uses more digits than its factorization.

105341144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82297790 (or 82297776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 105341144320 its reverse (23441143501), we get a palindrome (128782287821).

The spelling of 105341144320 in words is "one hundred five billion, three hundred forty-one million, one hundred forty-four thousand, three hundred twenty".