10105966 has 8 divisors (see below), whose sum is σ = 16325064. Its totient is φ = 4664280.

The previous prime is 10105961. The next prime is 10106017. The reversal of 10105966 is 66950101.

10105966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194320 + ... + 194371.

It is an arithmetic number, because the mean of its divisors is an integer number (2040633).

Almost surely, 2^10105966 is an apocalyptic number.

10105966 is a deficient number, since it is larger than the sum of its proper divisors (6219098).

10105966 is a wasteful number, since it uses less digits than its factorization.

10105966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388706.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 10105966 is about 3178.9882038158. The cubic root of 10105966 is about 216.2017861707.

The spelling of 10105966 in words is "ten million, one hundred five thousand, nine hundred sixty-six".