100105106005012 has 12 divisors (see below), whose sum is σ = 175184093769076. Its totient is φ = 50052507785280.

The previous prime is 100105106004997. The next prime is 100105106005027. The reversal of 100105106005012 is 210500601501001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100105106004997) and next prime (100105106005027).

It can be written as a sum of positive squares in 2 ways, for example, as 92257062342916 + 7848043662096 = 9605054^2 + 2801436^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6051939 + ... + 15389482.

Almost surely, 2^{100105106005012} is an apocalyptic number.

It is an amenable number.

100105106005012 is a deficient number, since it is larger than the sum of its proper divisors (75078987764064).

100105106005012 is a wasteful number, since it uses less digits than its factorization.

100105106005012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22608618 (or 22608616 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 100105106005012 its reverse (210500601501001), we get a palindrome (310605707506013).

The spelling of 100105106005012 in words is "one hundred trillion, one hundred five billion, one hundred six million, five thousand, twelve".