109008105 has 32 divisors (see below), whose sum is σ = 182217600. Its totient is φ = 55590912.

The previous prime is 109008103. The next prime is 109008127. The reversal of 109008105 is 501800901.

It is not a de Polignac number, because 109008105 - 2¹ = 109008103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109008101) 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 31 ways as a sum of consecutive naturals, for example, 31081 + ... + 34409.

It is an arithmetic number, because the mean of its divisors is an integer number (5694300).

Almost surely, 2^109008105 is an apocalyptic number.

109008105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109008105 is a deficient number, since it is larger than the sum of its proper divisors (73209495).

109008105 is a wasteful number, since it uses less digits than its factorization.

109008105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 109008105 is about 10440.6946607972. The cubic root of 109008105 is about 477.6974576936.

The spelling of 109008105 in words is "one hundred nine million, eight thousand, one hundred five".