10106686409 has 2 divisors, whose sum is σ = 10106686410. Its totient is φ = 10106686408.

The previous prime is 10106686379. The next prime is 10106686451. The reversal of 10106686409 is 90468660101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8575686025 + 1531000384 = 92605^2 + 39128^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106686409 - 2⁸ = 10106686153 is a prime.

It is a super-2 number, since 2×10106686409² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10106656409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053343204 + 5053343205.

It is an arithmetic number, because the mean of its divisors is an integer number (5053343205).

Almost surely, 2^10106686409 is an apocalyptic number.

It is an amenable number.

10106686409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106686409 is an equidigital number, since it uses as much as digits as its factorization.

10106686409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 10106686409 in words is "ten billion, one hundred six million, six hundred eighty-six thousand, four hundred nine".