106564333 has 2 divisors, whose sum is σ = 106564334. Its totient is φ = 106564332.

The previous prime is 106564261. The next prime is 106564343. The reversal of 106564333 is 333465601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106564329 + 4 = 10323^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 106564333 - 2¹³ = 106556141 is a prime.

It is a super-2 number, since 2×106564333² = 22711914135469778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106564295 and 106564304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106564343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53282166 + 53282167.

It is an arithmetic number, because the mean of its divisors is an integer number (53282167).

Almost surely, 2^106564333 is an apocalyptic number.

It is an amenable number.

106564333 is a deficient number, since it is larger than the sum of its proper divisors (1).

106564333 is an equidigital number, since it uses as much as digits as its factorization.

106564333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 106564333 is about 10323.0001937421. Note that the first 3 decimals coincide. The cubic root of 106564333 is about 474.1007295998.

The spelling of 106564333 in words is "one hundred six million, five hundred sixty-four thousand, three hundred thirty-three".