105556005557 has 2 divisors, whose sum is σ = 105556005558. Its totient is φ = 105556005556.

The previous prime is 105556005493. The next prime is 105556005563. The reversal of 105556005557 is 755500655501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72486946756 + 33069058801 = 269234^2 + 181849^2 .

It is a cyclic number.

It is not a de Polignac number, because 105556005557 - 2⁶ = 105556005493 is a prime.

It is a super-2 number, since 2×105556005557² (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 (105556001557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52778002778 + 52778002779.

It is an arithmetic number, because the mean of its divisors is an integer number (52778002779).

Almost surely, 2^105556005557 is an apocalyptic number.

It is an amenable number.

105556005557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105556005557 is an equidigital number, since it uses as much as digits as its factorization.

105556005557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 656250, while the sum is 44.

The spelling of 105556005557 in words is "one hundred five billion, five hundred fifty-six million, five thousand, five hundred fifty-seven".