106646821 has 2 divisors, whose sum is σ = 106646822. Its totient is φ = 106646820.

The previous prime is 106646741. The next prime is 106646861. The reversal of 106646821 is 128646601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94361796 + 12285025 = 9714^2 + 3505^2 .

It is an emirp because it is prime and its reverse (128646601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106646821 - 2⁷ = 106646693 is a prime.

It is a super-2 number, since 2×106646821² = 22747088858812082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106646861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53323410 + 53323411.

It is an arithmetic number, because the mean of its divisors is an integer number (53323411).

Almost surely, 2^106646821 is an apocalyptic number.

It is an amenable number.

106646821 is a deficient number, since it is larger than the sum of its proper divisors (1).

106646821 is an equidigital number, since it uses as much as digits as its factorization.

106646821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 106646821 is about 10326.9947709873. The cubic root of 106646821 is about 474.2230267249.

The spelling of 106646821 in words is "one hundred six million, six hundred forty-six thousand, eight hundred twenty-one".