87636105 has 48 divisors (see below), whose sum is σ = 162633744. Its totient is φ = 43499520.

The previous prime is 87636097. The next prime is 87636127. The reversal of 87636105 is 50163678.

87636105 is a `hidden beast` number, since 8 + 7 + 636 + 10 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7551504 + 80084601 = 2748^2 + 8949^2 .

It is not a de Polignac number, because 87636105 - 2³ = 87636097 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87636105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73615 + ... + 74795.

It is an arithmetic number, because the mean of its divisors is an integer number (3388203).

Almost surely, 2^87636105 is an apocalyptic number.

87636105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87636105 is a deficient number, since it is larger than the sum of its proper divisors (74997639).

87636105 is a wasteful number, since it uses less digits than its factorization.

87636105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87636105 is about 9361.4157583135. The cubic root of 87636105 is about 444.1820686219.

The spelling of 87636105 in words is "eighty-seven million, six hundred thirty-six thousand, one hundred five".