10500106010609 has 2 divisors, whose sum is σ = 10500106010610. Its totient is φ = 10500106010608.

The previous prime is 10500106010599. The next prime is 10500106010687. The reversal of 10500106010609 is 90601060100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10499414478400 + 691532209 = 3240280^2 + 26297^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10500106010609 is a prime.

It is a super-2 number, since 2×10500106010609² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10500106000609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250053005304 + 5250053005305.

It is an arithmetic number, because the mean of its divisors is an integer number (5250053005305).

Almost surely, 2^{10500106010609} is an apocalyptic number.

It is an amenable number.

10500106010609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500106010609 is an equidigital number, since it uses as much as digits as its factorization.

10500106010609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 10500106010609 in words is "ten trillion, five hundred billion, one hundred six million, ten thousand, six hundred nine".