87105789 has 12 divisors (see below), whose sum is σ = 125927100. Its totient is φ = 58020864.

The previous prime is 87105757. The next prime is 87105793. The reversal of 87105789 is 98750178.

87105789 is a `hidden beast` number, since 8 + 71 + 0 + 578 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1172889 + 85932900 = 1083^2 + 9270^2 .

It is not a de Polignac number, because 87105789 - 2⁵ = 87105757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105749) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9247 + ... + 16115.

It is an arithmetic number, because the mean of its divisors is an integer number (10493925).

Almost surely, 2^87105789 is an apocalyptic number.

It is an amenable number.

87105789 is a deficient number, since it is larger than the sum of its proper divisors (38821311).

87105789 is a wasteful number, since it uses less digits than its factorization.

87105789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 87105789 is about 9333.0482158832. The cubic root of 87105789 is about 443.2842894598.

The spelling of 87105789 in words is "eighty-seven million, one hundred five thousand, seven hundred eighty-nine".