10105967 has 8 divisors (see below), whose sum is σ = 10898160. Its totient is φ = 9339840.

The previous prime is 10105961. The next prime is 10106017. The reversal of 10105967 is 76950101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10105967 - 2²² = 5911663 is a prime.

It is a Duffinian number.

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 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, 5708 + ... + 7265.

It is an arithmetic number, because the mean of its divisors is an integer number (1362270).

Almost surely, 2^10105967 is an apocalyptic number.

10105967 is a deficient number, since it is larger than the sum of its proper divisors (792193).

10105967 is a wasteful number, since it uses less digits than its factorization.

10105967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 10105967 is about 3178.9883610985. The cubic root of 10105967 is about 216.2017933019.

The spelling of 10105967 in words is "ten million, one hundred five thousand, nine hundred sixty-seven".