105500057653 has 2 divisors, whose sum is σ = 105500057654. Its totient is φ = 105500057652.

The previous prime is 105500057627. The next prime is 105500057671. The reversal of 105500057653 is 356750005501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104715665604 + 784392049 = 323598^2 + 28007^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500057653 - 2⁹ = 105500057141 is a prime.

It is a super-2 number, since 2×105500057653² (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 (105500057353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750028826 + 52750028827.

It is an arithmetic number, because the mean of its divisors is an integer number (52750028827).

Almost surely, 2^105500057653 is an apocalyptic number.

It is an amenable number.

105500057653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500057653 is an equidigital number, since it uses as much as digits as its factorization.

105500057653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78750, while the sum is 37.

The spelling of 105500057653 in words is "one hundred five billion, five hundred million, fifty-seven thousand, six hundred fifty-three".