101005609 has 2 divisors, whose sum is σ = 101005610. Its totient is φ = 101005608.

The previous prime is 101005603. The next prime is 101005621. The reversal of 101005609 is 906500101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 50197225 = 7128^2 + 7085^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005609 - 2¹¹ = 101003561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101005609.

It is not a weakly prime, because it can be changed into another prime (101005603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502804 + 50502805.

It is an arithmetic number, because the mean of its divisors is an integer number (50502805).

Almost surely, 2^101005609 is an apocalyptic number.

It is an amenable number.

101005609 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005609 is an equidigital number, since it uses as much as digits as its factorization.

101005609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 101005609 is about 10050.1546754266. The cubic root of 101005609 is about 465.7095714678.

The spelling of 101005609 in words is "one hundred one million, five thousand, six hundred nine".