105966436 has 9 divisors (see below), whose sum is σ = 185477299. Its totient is φ = 52972924.

The previous prime is 105966403. The next prime is 105966437. The reversal of 105966436 is 634669501.

The square root of 105966436 is 10294.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105966436² = 22457771117084192, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105966437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18015 + ... + 23161.

Almost surely, 2^105966436 is an apocalyptic number.

105966436 is the 10294-th square number.

It is an amenable number.

105966436 is a deficient number, since it is larger than the sum of its proper divisors (79510863).

105966436 is an frugal number, since it uses more digits than its factorization.

105966436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The cubic root of 105966436 is about 473.2123923416.

The spelling of 105966436 in words is "one hundred five million, nine hundred sixty-six thousand, four hundred thirty-six".