87685101 has 48 divisors (see below), whose sum is σ = 150433920. Its totient is φ = 48176640.

The previous prime is 87685097. The next prime is 87685141. The reversal of 87685101 is 10158678.

87685101 is a `hidden beast` number, since 87 + 68 + 510 + 1 = 666.

It is not a de Polignac number, because 87685101 - 2² = 87685097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87685141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214185 + ... + 214593.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2^87685101 is an apocalyptic number.

It is an amenable number.

87685101 is a deficient number, since it is larger than the sum of its proper divisors (62748819).

87685101 is a wasteful number, since it uses less digits than its factorization.

87685101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 87685101 is about 9364.0323045150. The cubic root of 87685101 is about 444.2648316569.

The spelling of 87685101 in words is "eighty-seven million, six hundred eighty-five thousand, one hundred one".