105188009 has 8 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 99560016.

The previous prime is 105187967. The next prime is 105188023. The reversal of 105188009 is 900881501.

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 a de Polignac number, because none of the positive numbers 2^k-105188009 is a prime.

It is a super-2 number, since 2×105188009² = 22129034474768162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105188089) 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, 28007 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^105188009 is an apocalyptic number.

105188009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105188009 is a deficient number, since it is larger than the sum of its proper divisors (5638231).

105188009 is a wasteful number, since it uses less digits than its factorization.

105188009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119.

The product of its (nonzero) digits is 2880, while the sum is 32.

The square root of 105188009 is about 10256.1205628639. The cubic root of 105188009 is about 472.0508075753.

The spelling of 105188009 in words is "one hundred five million, one hundred eighty-eight thousand, nine".