105672667 has 4 divisors (see below), whose sum is σ = 105709240. Its totient is φ = 105636096.

The previous prime is 105672653. The next prime is 105672689. The reversal of 105672667 is 766276501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105672667 - 2²³ = 97284059 is a prime.

It is a super-2 number, since 2×105672667² = 22333425101785778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105672617) 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 in 3 ways as a sum of consecutive naturals, for example, 13542 + ... + 19867.

It is an arithmetic number, because the mean of its divisors is an integer number (26427310).

Almost surely, 2^105672667 is an apocalyptic number.

105672667 is a deficient number, since it is larger than the sum of its proper divisors (36573).

105672667 is an equidigital number, since it uses as much as digits as its factorization.

105672667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36572.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 105672667 is about 10279.7211538057. The cubic root of 105672667 is about 472.7746946521.

The spelling of 105672667 in words is "one hundred five million, six hundred seventy-two thousand, six hundred sixty-seven".