83307105 has 36 divisors (see below), whose sum is σ = 167978772. Its totient is φ = 38082240.

The previous prime is 83307079. The next prime is 83307113. The reversal of 83307105 is 50170338.

It can be written as a sum of positive squares in 2 ways, for example, as 50680161 + 32626944 = 7119^2 + 5712^2 .

It is not a de Polignac number, because 83307105 - 2⁶ = 83307041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16686 + ... + 21095.

It is an arithmetic number, because the mean of its divisors is an integer number (4666077).

Almost surely, 2^83307105 is an apocalyptic number.

It is an amenable number.

83307105 is an abundant number, since it is smaller than the sum of its proper divisors (84671667).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83307105 is a wasteful number, since it uses less digits than its factorization.

83307105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37806 (or 37796 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 83307105 is about 9127.2725937160. The cubic root of 83307105 is about 436.7444024404.

The spelling of 83307105 in words is "eighty-three million, three hundred seven thousand, one hundred five".