105888967 has 2 divisors, whose sum is σ = 105888968. Its totient is φ = 105888966.

The previous prime is 105888953. The next prime is 105888973. The reversal of 105888967 is 769888501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105888967 - 2¹⁵ = 105856199 is a prime.

It is a super-2 number, since 2×105888967² = 22424946664654178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105888977) 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, 52944483 + 52944484.

It is an arithmetic number, because the mean of its divisors is an integer number (52944484).

Almost surely, 2^105888967 is an apocalyptic number.

105888967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105888967 is an equidigital number, since it uses as much as digits as its factorization.

105888967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 52.

The square root of 105888967 is about 10290.2364890220. The cubic root of 105888967 is about 473.0970469255.

The spelling of 105888967 in words is "one hundred five million, eight hundred eighty-eight thousand, nine hundred sixty-seven".