87105291 has 48 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 43509312.

The previous prime is 87105287. The next prime is 87105371. The reversal of 87105291 is 19250178.

It is not a de Polignac number, because 87105291 - 2² = 87105287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87100291) 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 47 ways as a sum of consecutive naturals, for example, 35110 + ... + 37508.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2^87105291 is an apocalyptic number.

87105291 is a deficient number, since it is larger than the sum of its proper divisors (66110709).

87105291 is a wasteful number, since it uses less digits than its factorization.

87105291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 87105291 is about 9333.0215364586. The cubic root of 87105291 is about 443.2834446786.

The spelling of 87105291 in words is "eighty-seven million, one hundred five thousand, two hundred ninety-one".