1016105309 has 2 divisors, whose sum is σ = 1016105310. Its totient is φ = 1016105308.

The previous prime is 1016105297. The next prime is 1016105329. The reversal of 1016105309 is 9035016101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 707400409 + 308704900 = 26597^2 + 17570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016105309 - 2²⁰ = 1015056733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1016105329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508052654 + 508052655.

It is an arithmetic number, because the mean of its divisors is an integer number (508052655).

Almost surely, 2^1016105309 is an apocalyptic number.

It is an amenable number.

1016105309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016105309 is an equidigital number, since it uses as much as digits as its factorization.

1016105309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 1016105309 is about 31876.4067767997. The cubic root of 1016105309 is about 1005.3398713532.

The spelling of 1016105309 in words is "one billion, sixteen million, one hundred five thousand, three hundred nine".