105630971 has 2 divisors, whose sum is σ = 105630972. Its totient is φ = 105630970.

The previous prime is 105630947. The next prime is 105631027. The reversal of 105630971 is 179036501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105630971 - 2¹⁰ = 105629947 is a prime.

It is a super-2 number, since 2×105630971² = 22315804068805682, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (105630901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52815485 + 52815486.

It is an arithmetic number, because the mean of its divisors is an integer number (52815486).

Almost surely, 2^105630971 is an apocalyptic number.

105630971 is a deficient number, since it is larger than the sum of its proper divisors (1).

105630971 is an equidigital number, since it uses as much as digits as its factorization.

105630971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 105630971 is about 10277.6928831329. The cubic root of 105630971 is about 472.7125044707.

It can be divided in two parts, 105630 and 971, that added together give a palindrome (106601).

The spelling of 105630971 in words is "one hundred five million, six hundred thirty thousand, nine hundred seventy-one".