87105837 has 16 divisors (see below), whose sum is σ = 142943360. Its totient is φ = 45945792.

The previous prime is 87105797. The next prime is 87105883. The reversal of 87105837 is 73850178.

It is not a de Polignac number, because 87105837 - 2¹⁶ = 87040301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 87105795 and 87105804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159262 + ... + 159807.

It is an arithmetic number, because the mean of its divisors is an integer number (8933960).

Almost surely, 2^87105837 is an apocalyptic number.

It is an amenable number.

87105837 is a deficient number, since it is larger than the sum of its proper divisors (55837523).

87105837 is a wasteful number, since it uses less digits than its factorization.

87105837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319092.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 87105837 is about 9333.0507873899. The cubic root of 87105837 is about 443.2843708843.

The spelling of 87105837 in words is "eighty-seven million, one hundred five thousand, eight hundred thirty-seven".