106016609 has 2 divisors, whose sum is σ = 106016610. Its totient is φ = 106016608.

The previous prime is 106016567. The next prime is 106016633. The reversal of 106016609 is 906610601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105987025 + 29584 = 10295^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 106016609 - 2¹⁶ = 105951073 is a prime.

It is a super-2 number, since 2×106016609² = 22479042767717762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106016809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53008304 + 53008305.

It is an arithmetic number, because the mean of its divisors is an integer number (53008305).

Almost surely, 2^106016609 is an apocalyptic number.

It is an amenable number.

106016609 is a deficient number, since it is larger than the sum of its proper divisors (1).

106016609 is an equidigital number, since it uses as much as digits as its factorization.

106016609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 106016609 is about 10296.4367137374. The cubic root of 106016609 is about 473.2870661096.

The spelling of 106016609 in words is "one hundred six million, sixteen thousand, six hundred nine".