105631667 has 2 divisors, whose sum is σ = 105631668. Its totient is φ = 105631666.

The previous prime is 105631651. The next prime is 105631723. The reversal of 105631667 is 766136501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105631667 - 2⁴ = 105631651 is a prime.

It is a super-2 number, since 2×105631667² = 22316098146397778, which contains 22 as substring.

It is equal to p_6066863 and since 105631667 and 6066863 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105631637) 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, 52815833 + 52815834.

It is an arithmetic number, because the mean of its divisors is an integer number (52815834).

Almost surely, 2^105631667 is an apocalyptic number.

105631667 is a deficient number, since it is larger than the sum of its proper divisors (1).

105631667 is an equidigital number, since it uses as much as digits as its factorization.

105631667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 105631667 is about 10277.7267428162. The cubic root of 105631667 is about 472.7135426990.

It can be divided in two parts, 1056 and 31667, that added together give a palindrome (32723).

The spelling of 105631667 in words is "one hundred five million, six hundred thirty-one thousand, six hundred sixty-seven".