83105605 has 16 divisors (see below), whose sum is σ = 115193664. Its totient is φ = 56884480.

The previous prime is 83105599. The next prime is 83105621. The reversal of 83105605 is 50650138.

It is not a de Polignac number, because 83105605 - 2¹¹ = 83103557 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 43507 + ... + 45376.

It is an arithmetic number, because the mean of its divisors is an integer number (7199604).

Almost surely, 2^83105605 is an apocalyptic number.

83105605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83105605 is a deficient number, since it is larger than the sum of its proper divisors (32088059).

83105605 is a wasteful number, since it uses less digits than its factorization.

83105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88916.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 83105605 is about 9116.2275640750. The cubic root of 83105605 is about 436.3919913380.

The spelling of 83105605 in words is "eighty-three million, one hundred five thousand, six hundred five".