105405306664051 has 2 divisors, whose sum is σ = 105405306664052. Its totient is φ = 105405306664050.

The previous prime is 105405306663991. The next prime is 105405306664067. The reversal of 105405306664051 is 150466603504501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105405306664051 is a prime.

It is a super-2 number, since 2×105405306664051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105405306663992 and 105405306664010.

It is not a weakly prime, because it can be changed into another prime (105405306664451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702653332025 + 52702653332026.

It is an arithmetic number, because the mean of its divisors is an integer number (52702653332026).

Almost surely, 2^{105405306664051} is an apocalyptic number.

105405306664051 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405306664051 is an equidigital number, since it uses as much as digits as its factorization.

105405306664051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 105405306664051 in words is "one hundred five trillion, four hundred five billion, three hundred six million, six hundred sixty-four thousand, fifty-one".