105052967 has 2 divisors, whose sum is σ = 105052968. Its totient is φ = 105052966.

The previous prime is 105052963. The next prime is 105053021. The reversal of 105052967 is 769250501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105052967 - 2² = 105052963 is a prime.

It is a super-3 number, since 3×105052967³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105052963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52526483 + 52526484.

It is an arithmetic number, because the mean of its divisors is an integer number (52526484).

Almost surely, 2^105052967 is an apocalyptic number.

105052967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105052967 is an equidigital number, since it uses as much as digits as its factorization.

105052967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 105052967 is about 10249.5349650606. The cubic root of 105052967 is about 471.8487123464.

The spelling of 105052967 in words is "one hundred five million, fifty-two thousand, nine hundred sixty-seven".