100105500589 has 2 divisors, whose sum is σ = 100105500590. Its totient is φ = 100105500588.

The previous prime is 100105500503. The next prime is 100105500619. The reversal of 100105500589 is 985005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98553928489 + 1551572100 = 313933^2 + 39390^2 .

It is an emirp because it is prime and its reverse (985005501001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100105500589 - 2¹³ = 100105492397 is a prime.

It is a super-2 number, since 2×100105500589² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750294 + 50052750295.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750295).

Almost surely, 2^100105500589 is an apocalyptic number.

It is an amenable number.

100105500589 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500589 is an equidigital number, since it uses as much as digits as its factorization.

100105500589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 34.

The spelling of 100105500589 in words is "one hundred billion, one hundred five million, five hundred thousand, five hundred eighty-nine".