105116140163200 has 48 divisors (see below), whose sum is σ = 259669715004810. Its totient is φ = 42046456064000.

The previous prime is 105116140163161. The next prime is 105116140163261. The reversal of 105116140163200 is 2361041611501.

It can be written as a sum of positive squares in 3 ways, for example, as 51937159081536 + 53178981081664 = 7206744^2 + 7292392^2 .

It is a super-2 number, since 2×105116140163200² (a number of 29 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 5 ways as a sum of consecutive naturals, for example, 16424393701 + ... + 16424400100.

Almost surely, 2^{105116140163200} is an apocalyptic number.

105116140163200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105116140163200 is an abundant number, since it is smaller than the sum of its proper divisors (154553574841610).

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

105116140163200 is an equidigital number, since it uses as much as digits as its factorization.

105116140163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32848793825 (or 32848793808 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 105116140163200 its reverse (2361041611501), we get a palindrome (107477181774701).

The spelling of 105116140163200 in words is "one hundred five trillion, one hundred sixteen billion, one hundred forty million, one hundred sixty-three thousand, two hundred".