105964606 has 16 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 47584600.

The previous prime is 105964601. The next prime is 105964613. The reversal of 105964606 is 606469501.

It is a super-2 number, since 2×105964606² = 22456995449470472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105964601) 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 7 ways as a sum of consecutive naturals, for example, 27190 + ... + 30841.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^105964606 is an apocalyptic number.

105964606 is a deficient number, since it is larger than the sum of its proper divisors (69524162).

105964606 is a wasteful number, since it uses less digits than its factorization.

105964606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58127.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 105964606 is about 10293.9111128861. The cubic root of 105964606 is about 473.2096682600.

The spelling of 105964606 in words is "one hundred five million, nine hundred sixty-four thousand, six hundred six".