102132320 has 24 divisors (see below), whose sum is σ = 241287984. Its totient is φ = 40852864.

The previous prime is 102132313. The next prime is 102132337. The reversal of 102132320 is 23231201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102132295 and 102132304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319004 + ... + 319323.

It is an arithmetic number, because the mean of its divisors is an integer number (10053666).

Almost surely, 2^102132320 is an apocalyptic number.

102132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132320 is an abundant number, since it is smaller than the sum of its proper divisors (139155664).

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

102132320 is an equidigital number, since it uses as much as digits as its factorization.

102132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638342 (or 638334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102132320 is about 10106.0536313637. The cubic root of 102132320 is about 467.4348255775.

Adding to 102132320 its reverse (23231201), we get a palindrome (125363521).

The spelling of 102132320 in words is "one hundred two million, one hundred thirty-two thousand, three hundred twenty".