100605056565144 has 64 divisors (see below), whose sum is σ = 266438884982400. Its totient is φ = 31546799450624.

The previous prime is 100605056565133. The next prime is 100605056565173. The reversal of 100605056565144 is 441565650506001.

It is a junction number, because it is equal to n+sod(n) for n = 100605056565093 and 100605056565102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59997114 + ... + 61651145.

It is an arithmetic number, because the mean of its divisors is an integer number (4163107577850).

Almost surely, 2^{100605056565144} is an apocalyptic number.

It is an amenable number.

100605056565144 is an abundant number, since it is smaller than the sum of its proper divisors (165833828417256).

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

100605056565144 is a wasteful number, since it uses less digits than its factorization.

100605056565144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121650312 (or 121650308 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 100605056565144 in words is "one hundred trillion, six hundred five billion, fifty-six million, five hundred sixty-five thousand, one hundred forty-four".