87824106 has 24 divisors (see below), whose sum is σ = 194336064. Its totient is φ = 28651560.

The previous prime is 87824101. The next prime is 87824123. The reversal of 87824106 is 60142878.

It is not an unprimeable number, because it can be changed into a prime (87824101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51060 + ... + 52751.

It is an arithmetic number, because the mean of its divisors is an integer number (8097336).

Almost surely, 2^87824106 is an apocalyptic number.

87824106 is an abundant number, since it is smaller than the sum of its proper divisors (106511958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87824106 is a wasteful number, since it uses less digits than its factorization.

87824106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103866 (or 103863 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87824106 is about 9371.4516484908. The cubic root of 87824106 is about 444.4994683588.

The spelling of 87824106 in words is "eighty-seven million, eight hundred twenty-four thousand, one hundred six".