102078132 has 96 divisors (see below), whose sum is σ = 276482304. Its totient is φ = 29030400.

The previous prime is 102078113. The next prime is 102078139. The reversal of 102078132 is 231870201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102078139) 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 31 ways as a sum of consecutive naturals, for example, 161457 + ... + 162087.

It is an arithmetic number, because the mean of its divisors is an integer number (2880024).

Almost surely, 2^102078132 is an apocalyptic number.

102078132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102078132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138241152).

102078132 is an abundant number, since it is smaller than the sum of its proper divisors (174404172).

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

102078132 is a wasteful number, since it uses less digits than its factorization.

102078132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102078132 is about 10103.3723082939. The cubic root of 102078132 is about 467.3521425140.

The spelling of 102078132 in words is "one hundred two million, seventy-eight thousand, one hundred thirty-two".