10116409 has 2 divisors, whose sum is σ = 10116410. Its totient is φ = 10116408.

The previous prime is 10116391. The next prime is 10116427. The reversal of 10116409 is 90461101.

It is a balanced prime because it is at equal distance from previous prime (10116391) and next prime (10116427).

It can be written as a sum of positive squares in only one way, i.e., 7645225 + 2471184 = 2765^2 + 1572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10116409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10116409.

It is not a weakly prime, because it can be changed into another prime (10116499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058204 + 5058205.

It is an arithmetic number, because the mean of its divisors is an integer number (5058205).

Almost surely, 2^10116409 is an apocalyptic number.

It is an amenable number.

10116409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116409 is an equidigital number, since it uses as much as digits as its factorization.

10116409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10116409 is about 3180.6302834501. The cubic root of 10116409 is about 216.2762312395.

The spelling of 10116409 in words is "ten million, one hundred sixteen thousand, four hundred nine".