105664813 has 2 divisors, whose sum is σ = 105664814. Its totient is φ = 105664812.

The previous prime is 105664787. The next prime is 105664841. The reversal of 105664813 is 318466501.

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., 60264169 + 45400644 = 7763^2 + 6738^2 .

It is a cyclic number.

It is not a de Polignac number, because 105664813 - 2¹⁷ = 105533741 is a prime.

It is a super-2 number, since 2×105664813² = 22330105412649938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105664873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832406 + 52832407.

It is an arithmetic number, because the mean of its divisors is an integer number (52832407).

Almost surely, 2^105664813 is an apocalyptic number.

It is an amenable number.

105664813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105664813 is an equidigital number, since it uses as much as digits as its factorization.

105664813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 105664813 is about 10279.3391324540. The cubic root of 105664813 is about 472.7629815492.

The spelling of 105664813 in words is "one hundred five million, six hundred sixty-four thousand, eight hundred thirteen".