105555555577 has 2 divisors, whose sum is σ = 105555555578. Its totient is φ = 105555555576.

The previous prime is 105555555493. The next prime is 105555555619. The reversal of 105555555577 is 775555555501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71405993961 + 34149561616 = 267219^2 + 184796^2 .

It is an emirp because it is prime and its reverse (775555555501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105555555577 is a prime.

It is a super-2 number, since 2×105555555577² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105555552577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777777788 + 52777777789.

It is an arithmetic number, because the mean of its divisors is an integer number (52777777789).

Almost surely, 2^105555555577 is an apocalyptic number.

It is an amenable number.

105555555577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555555577 is an equidigital number, since it uses as much as digits as its factorization.

105555555577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19140625, while the sum is 55.

The spelling of 105555555577 in words is "one hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred seventy-seven".