105879009 has 8 divisors (see below), whose sum is σ = 149476320. Its totient is φ = 66433856.

The previous prime is 105878987. The next prime is 105879013. The reversal of 105879009 is 900978501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105879009 - 2⁵ = 105878977 is a prime.

It is a super-2 number, since 2×105879009² = 22420729093644162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105879019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037979 + ... + 1038080.

It is an arithmetic number, because the mean of its divisors is an integer number (18684540).

Almost surely, 2^105879009 is an apocalyptic number.

It is an amenable number.

105879009 is a deficient number, since it is larger than the sum of its proper divisors (43597311).

105879009 is a wasteful number, since it uses less digits than its factorization.

105879009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076079.

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 105879009 is about 10289.7526209331. The cubic root of 105879009 is about 473.0822161450.

The spelling of 105879009 in words is "one hundred five million, eight hundred seventy-nine thousand, nine".