109406085 has 32 divisors (see below), whose sum is σ = 186101760. Its totient is φ = 54727488.

The previous prime is 109406071. The next prime is 109406111. The reversal of 109406085 is 580604901.

It is not a de Polignac number, because 109406085 - 2⁴ = 109406069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27492 + ... + 31218.

It is an arithmetic number, because the mean of its divisors is an integer number (5815680).

Almost surely, 2^109406085 is an apocalyptic number.

109406085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109406085 is a deficient number, since it is larger than the sum of its proper divisors (76695675).

109406085 is a wasteful number, since it uses less digits than its factorization.

109406085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 109406085 is about 10459.7363733509. The cubic root of 109406085 is about 478.2780968995.

The spelling of 109406085 in words is "one hundred nine million, four hundred six thousand, eighty-five".