100105106004997 has 2 divisors, whose sum is σ = 100105106004998. Its totient is φ = 100105106004996.

The previous prime is 100105106004973. The next prime is 100105106005027. The reversal of 100105106004997 is 799400601501001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83209315023396 + 16895790981601 = 9121914^2 + 4110449^2 .

It is an emirp because it is prime and its reverse (799400601501001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100105106004997 - 2³⁹ = 99555350191109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105106004097) by changing a digit.

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 as a sum of consecutive naturals, namely, 50052553002498 + 50052553002499.

It is an arithmetic number, because the mean of its divisors is an integer number (50052553002499).

Almost surely, 2^{100105106004997} is an apocalyptic number.

It is an amenable number.

100105106004997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105106004997 is an equidigital number, since it uses as much as digits as its factorization.

100105106004997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 43.

Adding to 100105106004997 its reverse (799400601501001), we get a palindrome (899505707505998).

The spelling of 100105106004997 in words is "one hundred trillion, one hundred five billion, one hundred six million, four thousand, nine hundred ninety-seven".