105066667 has 6 divisors (see below), whose sum is σ = 107351948. Its totient is φ = 102829044.

The previous prime is 105066607. The next prime is 105066671. The reversal of 105066667 is 766660501.

It is a happy number.

It is not a de Polignac number, because 105066667 - 2⁷ = 105066539 is a prime.

It is a super-2 number, since 2×105066667² = 22078009028977778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21573 + ... + 25990.

Almost surely, 2^105066667 is an apocalyptic number.

105066667 is a deficient number, since it is larger than the sum of its proper divisors (2285281).

105066667 is an frugal number, since it uses more digits than its factorization.

105066667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47657 (or 47610 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 105066667 is about 10250.2032662772. The cubic root of 105066667 is about 471.8692227821.

The spelling of 105066667 in words is "one hundred five million, sixty-six thousand, six hundred sixty-seven".