105766229 has 2 divisors, whose sum is σ = 105766230. Its totient is φ = 105766228.

The previous prime is 105766223. The next prime is 105766237. The reversal of 105766229 is 922667501.

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., 85063729 + 20702500 = 9223^2 + 4550^2 .

It is a cyclic number.

It is not a de Polignac number, because 105766229 - 2¹² = 105762133 is a prime.

It is a super-2 number, since 2×105766229² = 22372990393760882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105766192 and 105766201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105766223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52883114 + 52883115.

It is an arithmetic number, because the mean of its divisors is an integer number (52883115).

Almost surely, 2^105766229 is an apocalyptic number.

It is an amenable number.

105766229 is a deficient number, since it is larger than the sum of its proper divisors (1).

105766229 is an equidigital number, since it uses as much as digits as its factorization.

105766229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 105766229 is about 10284.2709513120. The cubic root of 105766229 is about 472.9141842000.

The spelling of 105766229 in words is "one hundred five million, seven hundred sixty-six thousand, two hundred twenty-nine".