105055100993 has 2 divisors, whose sum is σ = 105055100994. Its totient is φ = 105055100992.

The previous prime is 105055100989. The next prime is 105055101013. The reversal of 105055100993 is 399001550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97348368049 + 7706732944 = 312007^2 + 87788^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055100993 - 2² = 105055100989 is a prime.

It is a super-2 number, since 2×105055100993² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105055100963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527550496 + 52527550497.

It is an arithmetic number, because the mean of its divisors is an integer number (52527550497).

Almost surely, 2^105055100993 is an apocalyptic number.

It is an amenable number.

105055100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055100993 is an equidigital number, since it uses as much as digits as its factorization.

105055100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30375, while the sum is 38.

The spelling of 105055100993 in words is "one hundred five billion, fifty-five million, one hundred thousand, nine hundred ninety-three".