105210967 has 2 divisors, whose sum is σ = 105210968. Its totient is φ = 105210966.

The previous prime is 105210949. The next prime is 105211019. The reversal of 105210967 is 769012501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105210967 - 2¹¹ = 105208919 is a prime.

It is a super-2 number, since 2×105210967² = 22138695154150178, which contains 22 as substring.

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 (105270967) 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 as a sum of consecutive naturals, namely, 52605483 + 52605484.

It is an arithmetic number, because the mean of its divisors is an integer number (52605484).

Almost surely, 2^105210967 is an apocalyptic number.

105210967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210967 is an equidigital number, since it uses as much as digits as its factorization.

105210967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105210967 is about 10257.2397359134. The cubic root of 105210967 is about 472.0851478460.

The spelling of 105210967 in words is "one hundred five million, two hundred ten thousand, nine hundred sixty-seven".