2009106161 has 2 divisors, whose sum is σ = 2009106162. Its totient is φ = 2009106160.

The previous prime is 2009106137. The next prime is 2009106193. The reversal of 2009106161 is 1616019002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1431184561 + 577921600 = 37831^2 + 24040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2009106161 - 2¹⁸ = 2008844017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2009106161.

It is not a weakly prime, because it can be changed into another prime (2009106101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004553080 + 1004553081.

It is an arithmetic number, because the mean of its divisors is an integer number (1004553081).

Almost surely, 2^2009106161 is an apocalyptic number.

It is an amenable number.

2009106161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009106161 is an equidigital number, since it uses as much as digits as its factorization.

2009106161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 2009106161 is about 44823.0539008667. The cubic root of 2009106161 is about 1261.8303291074.

The spelling of 2009106161 in words is "two billion, nine million, one hundred six thousand, one hundred sixty-one".