100605056010605 has 16 divisors (see below), whose sum is σ = 120764140377840. Its totient is φ = 80458664681472.

The previous prime is 100605056010601. The next prime is 100605056010607. The reversal of 100605056010605 is 506010650506001.

It can be written as a sum of positive squares in 8 ways, for example, as 2072393455561 + 98532662555044 = 1439581^2 + 9926362^2 .

It is a cyclic number.

It is not a de Polignac number, because 100605056010605 - 2² = 100605056010601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100605056010601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458484677 + ... + 458704053.

It is an arithmetic number, because the mean of its divisors is an integer number (7547758773615).

Almost surely, 2^{100605056010605} is an apocalyptic number.

It is an amenable number.

100605056010605 is a deficient number, since it is larger than the sum of its proper divisors (20159084367235).

100605056010605 is a wasteful number, since it uses less digits than its factorization.

100605056010605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247888.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 100605056010605 in words is "one hundred trillion, six hundred five billion, fifty-six million, ten thousand, six hundred five".