100105600005557 has 2 divisors, whose sum is σ = 100105600005558. Its totient is φ = 100105600005556.

The previous prime is 100105600005491. The next prime is 100105600005569. The reversal of 100105600005557 is 755500006501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100099044512401 + 6555493156 = 10004951^2 + 80966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105600005557 is a prime.

It is a super-2 number, since 2×100105600005557² (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 (100105600005157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052800002778 + 50052800002779.

It is an arithmetic number, because the mean of its divisors is an integer number (50052800002779).

Almost surely, 2^{100105600005557} is an apocalyptic number.

It is an amenable number.

100105600005557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105600005557 is an equidigital number, since it uses as much as digits as its factorization.

100105600005557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26250, while the sum is 35.

Adding to 100105600005557 its reverse (755500006501001), we get a palindrome (855605606506558).

The spelling of 100105600005557 in words is "one hundred trillion, one hundred five billion, six hundred million, five thousand, five hundred fifty-seven".