106305229 has 2 divisors, whose sum is σ = 106305230. Its totient is φ = 106305228.

The previous prime is 106305191. The next prime is 106305239. The reversal of 106305229 is 922503601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102313225 + 3992004 = 10115^2 + 1998^2 .

It is a cyclic number.

It is not a de Polignac number, because 106305229 - 2¹⁷ = 106174157 is a prime.

It is a super-2 number, since 2×106305229² = 22601603425484882, which contains 22 as substring.

It is equal to p_6103279 and since 106305229 and 6103279 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 106305197 and 106305206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106305239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53152614 + 53152615.

It is an arithmetic number, because the mean of its divisors is an integer number (53152615).

Almost surely, 2^106305229 is an apocalyptic number.

It is an amenable number.

106305229 is a deficient number, since it is larger than the sum of its proper divisors (1).

106305229 is an equidigital number, since it uses as much as digits as its factorization.

106305229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 106305229 is about 10310.4427160040. The cubic root of 106305229 is about 473.7161697542.

The spelling of 106305229 in words is "one hundred six million, three hundred five thousand, two hundred twenty-nine".