102132316 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 40185600.

The previous prime is 102132313. The next prime is 102132337. The reversal of 102132316 is 613231201.

It is a junction number, because it is equal to n+sod(n) for n = 102132293 and 102132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132313) 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, 779571 + ... + 779701.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^102132316 is an apocalyptic number.

It is an amenable number.

102132316 is an abundant number, since it is smaller than the sum of its proper divisors (121401764).

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

102132316 is a wasteful number, since it uses less digits than its factorization.

102132316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102132316 is about 10106.0534334625. The cubic root of 102132316 is about 467.4348194752.

Adding to 102132316 its reverse (613231201), we get a palindrome (715363517).

The spelling of 102132316 in words is "one hundred two million, one hundred thirty-two thousand, three hundred sixteen".