105550150599972 has 60 divisors (see below), whose sum is σ = 297154246406556. Its totient is φ = 32476969414080.

The previous prime is 105550150599953. The next prime is 105550150599977. The reversal of 105550150599972 is 279995051055501.

105550150599972 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 50 + 1 + 505 + 9 + 9 + 9 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24408500726016 + 81141649873956 = 4940496^2 + 9007866^2 .

It is a super-2 number, since 2×105550150599972² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550150599977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12529690779 + ... + 12529699202.

Almost surely, 2^{105550150599972} is an apocalyptic number.

105550150599972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105550150599972 is an abundant number, since it is smaller than the sum of its proper divisors (191604095806584).

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

105550150599972 is a wasteful number, since it uses less digits than its factorization.

105550150599972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25059390010 (or 25059389999 counting only the distinct ones).

The product of its (nonzero) digits is 31893750, while the sum is 63.

The spelling of 105550150599972 in words is "one hundred five trillion, five hundred fifty billion, one hundred fifty million, five hundred ninety-nine thousand, nine hundred seventy-two".