107531164551200 has 72 divisors (see below), whose sum is σ = 282703567446468. Its totient is φ = 39703814599680.

The previous prime is 107531164551199. The next prime is 107531164551211. The reversal of 107531164551200 is 2155461135701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9332022986896 + 98199141564304 = 3054836^2 + 9909548^2 .

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 11 ways as a sum of consecutive naturals, for example, 5169757127 + ... + 5169777926.

Almost surely, 2^{107531164551200} is an apocalyptic number.

107531164551200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107531164551200 is an abundant number, since it is smaller than the sum of its proper divisors (175172402895268).

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

107531164551200 is a wasteful number, since it uses less digits than its factorization.

107531164551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339535086 (or 10339535073 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 107531164551200 in words is "one hundred seven trillion, five hundred thirty-one billion, one hundred sixty-four million, five hundred fifty-one thousand, two hundred".