106405202609 has 2 divisors, whose sum is σ = 106405202610. Its totient is φ = 106405202608.

The previous prime is 106405202597. The next prime is 106405202623. The reversal of 106405202609 is 906202504601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58695721984 + 47709480625 = 242272^2 + 218425^2 .

It is a cyclic number.

It is not a de Polignac number, because 106405202609 - 2¹⁶ = 106405137073 is a prime.

It is a super-2 number, since 2×106405202609² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106405202669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53202601304 + 53202601305.

It is an arithmetic number, because the mean of its divisors is an integer number (53202601305).

Almost surely, 2^106405202609 is an apocalyptic number.

It is an amenable number.

106405202609 is a deficient number, since it is larger than the sum of its proper divisors (1).

106405202609 is an equidigital number, since it uses as much as digits as its factorization.

106405202609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 106405202609 in words is "one hundred six billion, four hundred five million, two hundred two thousand, six hundred nine".