106009361 has 2 divisors, whose sum is σ = 106009362. Its totient is φ = 106009360.

The previous prime is 106009327. The next prime is 106009363. The reversal of 106009361 is 163900601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74995600 + 31013761 = 8660^2 + 5569^2 .

It is an emirp because it is prime and its reverse (163900601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106009361 - 2²⁶ = 38900497 is a prime.

It is a super-2 number, since 2×106009361² = 22475969239256642, which contains 22 as substring.

Together with 106009363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106009361.

It is not a weakly prime, because it can be changed into another prime (106009363) 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, 53004680 + 53004681.

It is an arithmetic number, because the mean of its divisors is an integer number (53004681).

Almost surely, 2^106009361 is an apocalyptic number.

It is an amenable number.

106009361 is a deficient number, since it is larger than the sum of its proper divisors (1).

106009361 is an equidigital number, since it uses as much as digits as its factorization.

106009361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 106009361 is about 10296.0847412985. The cubic root of 106009361 is about 473.2762801806.

Adding to 106009361 its reverse (163900601), we get a palindrome (269909962).

The spelling of 106009361 in words is "one hundred six million, nine thousand, three hundred sixty-one".