10105964 has 12 divisors (see below), whose sum is σ = 19293288. Its totient is φ = 4593600.

The previous prime is 10105961. The next prime is 10106017. The reversal of 10105964 is 46950101.

It is not an unprimeable number, because it can be changed into a prime (10105961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114797 + ... + 114884.

It is an arithmetic number, because the mean of its divisors is an integer number (1607774).

Almost surely, 2^10105964 is an apocalyptic number.

It is an amenable number.

10105964 is a deficient number, since it is larger than the sum of its proper divisors (9187324).

10105964 is a wasteful number, since it uses less digits than its factorization.

10105964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229696 (or 229694 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10105964 is about 3178.9878892503. The cubic root of 10105964 is about 216.2017719084.

The spelling of 10105964 in words is "ten million, one hundred five thousand, nine hundred sixty-four".