100427068161288 has 144 divisors (see below), whose sum is σ = 300127480265340. Its totient is φ = 30314030039040.

The previous prime is 100427068161227. The next prime is 100427068161293. The reversal of 100427068161288 is 882161860724001.

100427068161288 is a `hidden beast` number, since 1 + 0 + 0 + 427 + 0 + 6 + 81 + 61 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80075258516484 + 20351809644804 = 8948478^2 + 4511298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20187945 + ... + 24665912.

Almost surely, 2^{100427068161288} is an apocalyptic number.

100427068161288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100427068161288 is an abundant number, since it is smaller than the sum of its proper divisors (199700412104052).

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

100427068161288 is a wasteful number, since it uses less digits than its factorization.

100427068161288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44854148 (or 44854130 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 100427068161288 in words is "one hundred trillion, four hundred twenty-seven billion, sixty-eight million, one hundred sixty-one thousand, two hundred eighty-eight".