106662421 has 2 divisors, whose sum is σ = 106662422. Its totient is φ = 106662420.

The previous prime is 106662419. The next prime is 106662449. The reversal of 106662421 is 124266601.

It is an a-pointer prime, because the next prime (106662449) can be obtained adding 106662421 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102718225 + 3944196 = 10135^2 + 1986^2 .

It is a cyclic number.

It is not a de Polignac number, because 106662421 - 2¹ = 106662419 is a prime.

It is a super-3 number, since 3×106662421³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106662419, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106662421.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106662401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53331210 + 53331211.

It is an arithmetic number, because the mean of its divisors is an integer number (53331211).

Almost surely, 2^106662421 is an apocalyptic number.

It is an amenable number.

106662421 is a deficient number, since it is larger than the sum of its proper divisors (1).

106662421 is an equidigital number, since it uses as much as digits as its factorization.

106662421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 106662421 is about 10327.7500453874. The cubic root of 106662421 is about 474.2461482721.

The spelling of 106662421 in words is "one hundred six million, six hundred sixty-two thousand, four hundred twenty-one".