105115250320 has 20 divisors (see below), whose sum is σ = 244392957180. Its totient is φ = 42046100096.

The previous prime is 105115250299. The next prime is 105115250377. The reversal of 105115250320 is 23052511501.

It can be written as a sum of positive squares in 2 ways, for example, as 27312189696 + 77803060624 = 165264^2 + 278932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105115250320² (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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656970235 + ... + 656970394.

It is an arithmetic number, because the mean of its divisors is an integer number (12219647859).

Almost surely, 2^105115250320 is an apocalyptic number.

105115250320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105115250320 is an abundant number, since it is smaller than the sum of its proper divisors (139277706860).

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

105115250320 is a wasteful number, since it uses less digits than its factorization.

105115250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313940642 (or 1313940636 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 105115250320 its reverse (23052511501), we get a palindrome (128167761821).

The spelling of 105115250320 in words is "one hundred five billion, one hundred fifteen million, two hundred fifty thousand, three hundred twenty".