105665067 has 20 divisors (see below), whose sum is σ = 163291920. Its totient is φ = 68012784.

The previous prime is 105665041. The next prime is 105665129. The reversal of 105665067 is 760566501.

It is a happy number.

It is not a de Polignac number, because 105665067 - 2⁶ = 105665003 is a prime.

It is a super-2 number, since 2×105665067² = 22330212768228978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105665467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20143 + ... + 24840.

It is an arithmetic number, because the mean of its divisors is an integer number (8164596).

Almost surely, 2^105665067 is an apocalyptic number.

105665067 is a deficient number, since it is larger than the sum of its proper divisors (57626853).

105665067 is an equidigital number, since it uses as much as digits as its factorization.

105665067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45024 (or 45015 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 105665067 is about 10279.3514873264. The cubic root of 105665067 is about 472.7633603625.

The spelling of 105665067 in words is "one hundred five million, six hundred sixty-five thousand, sixty-seven".