107727122600000 has 84 divisors (see below), whose sum is σ = 267196659952068. Its totient is φ = 43090848960000.

The previous prime is 107727122599931. The next prime is 107727122600011. The reversal of 107727122600000 is 6221727701.

It can be written as a sum of positive squares in 6 ways, for example, as 106553263031296 + 1173859568704 = 10322464^2 + 1083448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269117807 + ... + 269517806.

It is an arithmetic number, because the mean of its divisors is an integer number (3180912618477).

Almost surely, 2^{107727122600000} is an apocalyptic number.

107727122600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107727122600000 is an abundant number, since it is smaller than the sum of its proper divisors (159469537352068).

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

107727122600000 is an frugal number, since it uses more digits than its factorization.

107727122600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538635650 (or 538635620 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 107727122600000 in words is "one hundred seven trillion, seven hundred twenty-seven billion, one hundred twenty-two million, six hundred thousand".