100105600005589 has 2 divisors, whose sum is σ = 100105600005590. Its totient is φ = 100105600005588.

The previous prime is 100105600005569. The next prime is 100105600005601. The reversal of 100105600005589 is 985500006501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65913127316100 + 34192472689489 = 8118690^2 + 5847433^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105600005589 - 2⁵ = 100105600005557 is a prime.

It is a super-2 number, since 2×100105600005589² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105600005569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052800002794 + 50052800002795.

It is an arithmetic number, because the mean of its divisors is an integer number (50052800002795).

Almost surely, 2^{100105600005589} is an apocalyptic number.

It is an amenable number.

100105600005589 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105600005589 is an equidigital number, since it uses as much as digits as its factorization.

100105600005589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 40.

The spelling of 100105600005589 in words is "one hundred trillion, one hundred five billion, six hundred million, five thousand, five hundred eighty-nine".