105042967 has 2 divisors, whose sum is σ = 105042968. Its totient is φ = 105042966.

The previous prime is 105042953. The next prime is 105043013. The reversal of 105042967 is 769240501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105042967 - 2¹¹ = 105040919 is a prime.

It is a super-3 number, since 3×105042967³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105042907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52521483 + 52521484.

It is an arithmetic number, because the mean of its divisors is an integer number (52521484).

Almost surely, 2^105042967 is an apocalyptic number.

105042967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105042967 is an equidigital number, since it uses as much as digits as its factorization.

105042967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 105042967 is about 10249.0471264406. The cubic root of 105042967 is about 471.8337400996.

The spelling of 105042967 in words is "one hundred five million, forty-two thousand, nine hundred sixty-seven".