105000610000019 has 2 divisors, whose sum is σ = 105000610000020. Its totient is φ = 105000610000018.

The previous prime is 105000609999991. The next prime is 105000610000043. The reversal of 105000610000019 is 910000016000501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105000610000019 - 2¹⁶ = 105000609934483 is a prime.

It is a super-2 number, since 2×105000610000019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000609999949 and 105000610000003.

It is not a weakly prime, because it can be changed into another prime (105000610000049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500305000009 + 52500305000010.

It is an arithmetic number, because the mean of its divisors is an integer number (52500305000010).

Almost surely, 2^{105000610000019} is an apocalyptic number.

105000610000019 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000610000019 is an equidigital number, since it uses as much as digits as its factorization.

105000610000019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 105000610000019 in words is "one hundred five trillion, six hundred ten million, nineteen", and thus it is an aban number.