105609001 has 2 divisors, whose sum is σ = 105609002. Its totient is φ = 105609000.

The previous prime is 105608983. The next prime is 105609029. The reversal of 105609001 is 100906501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104755225 + 853776 = 10235^2 + 924^2 .

It is an emirp because it is prime and its reverse (100906501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105609001 - 2⁵ = 105608969 is a prime.

It is a super-2 number, since 2×105609001² = 22306522184436002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105609701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52804500 + 52804501.

It is an arithmetic number, because the mean of its divisors is an integer number (52804501).

Almost surely, 2^105609001 is an apocalyptic number.

It is an amenable number.

105609001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105609001 is an equidigital number, since it uses as much as digits as its factorization.

105609001 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 105609001 is about 10276.6240079123. The cubic root of 105609001 is about 472.6797293173.

The spelling of 105609001 in words is "one hundred five million, six hundred nine thousand, one".