105011005555657 has 2 divisors, whose sum is σ = 105011005555658. Its totient is φ = 105011005555656.

The previous prime is 105011005555571. The next prime is 105011005555717. The reversal of 105011005555657 is 756555500110501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67603849288336 + 37407156267321 = 8222156^2 + 6116139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105011005555657 is a prime.

It is a super-2 number, since 2×105011005555657² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105011005552657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505502777828 + 52505502777829.

It is an arithmetic number, because the mean of its divisors is an integer number (52505502777829).

Almost surely, 2^{105011005555657} is an apocalyptic number.

It is an amenable number.

105011005555657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011005555657 is an equidigital number, since it uses as much as digits as its factorization.

105011005555657 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 46.

The spelling of 105011005555657 in words is "one hundred five trillion, eleven billion, five million, five hundred fifty-five thousand, six hundred fifty-seven".