105089667 has 8 divisors (see below), whose sum is σ = 140396880. Its totient is φ = 69921120.

The previous prime is 105089639. The next prime is 105089689. The reversal of 105089667 is 766980501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105089667 - 2⁷ = 105089539 is a prime.

It is a super-2 number, since 2×105089667² = 22087676220341778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105089617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32884 + ... + 35937.

It is an arithmetic number, because the mean of its divisors is an integer number (17549610).

Almost surely, 2^105089667 is an apocalyptic number.

105089667 is a deficient number, since it is larger than the sum of its proper divisors (35307213).

105089667 is an equidigital number, since it uses as much as digits as its factorization.

105089667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69333.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 105089667 is about 10251.3251338546. The cubic root of 105089667 is about 471.9036523514.

The spelling of 105089667 in words is "one hundred five million, eighty-nine thousand, six hundred sixty-seven".