102132084 has 24 divisors (see below), whose sum is σ = 246526560. Its totient is φ = 32869984.

The previous prime is 102132083. The next prime is 102132091. The reversal of 102132084 is 480231201.

It is a self number, because there is not a number n which added to its sum of digits gives 102132084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132083) 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 7 ways as a sum of consecutive naturals, for example, 146394 + ... + 147089.

It is an arithmetic number, because the mean of its divisors is an integer number (10271940).

Almost surely, 2^102132084 is an apocalyptic number.

It is an amenable number.

102132084 is an abundant number, since it is smaller than the sum of its proper divisors (144394476).

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

102132084 is a wasteful number, since it uses less digits than its factorization.

102132084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293519 (or 293517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102132084 is about 10106.0419551870. The cubic root of 102132084 is about 467.4344655390.

Adding to 102132084 its reverse (480231201), we get a palindrome (582363285).

The spelling of 102132084 in words is "one hundred two million, one hundred thirty-two thousand, eighty-four".