105103564997 has 2 divisors, whose sum is σ = 105103564998. Its totient is φ = 105103564996.

The previous prime is 105103564981. The next prime is 105103565003. The reversal of 105103564997 is 799465301501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96381686116 + 8721878881 = 310454^2 + 93391^2 .

It is an emirp because it is prime and its reverse (799465301501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105103564997 - 2⁴ = 105103564981 is a prime.

It is a super-2 number, since 2×105103564997² (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 (105103567997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551782498 + 52551782499.

It is an arithmetic number, because the mean of its divisors is an integer number (52551782499).

Almost surely, 2^105103564997 is an apocalyptic number.

It is an amenable number.

105103564997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105103564997 is an equidigital number, since it uses as much as digits as its factorization.

105103564997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 105103564997 in words is "one hundred five billion, one hundred three million, five hundred sixty-four thousand, nine hundred ninety-seven".