102132360 has 128 divisors (see below), whose sum is σ = 371433600. Its totient is φ = 24756480.

The previous prime is 102132347. The next prime is 102132389. The reversal of 102132360 is 63231201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 7582 + ... + 16178.

It is an arithmetic number, because the mean of its divisors is an integer number (2901825).

Almost surely, 2^102132360 is an apocalyptic number.

102132360 is a gapful number since it is divisible by the number (10) 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 102132360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185716800).

102132360 is an abundant number, since it is smaller than the sum of its proper divisors (269301240).

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

102132360 is a wasteful number, since it uses less digits than its factorization.

102132360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102132360 is about 10106.0556103754. The cubic root of 102132360 is about 467.4348866009.

Adding to 102132360 its reverse (63231201), we get a palindrome (165363561).

The spelling of 102132360 in words is "one hundred two million, one hundred thirty-two thousand, three hundred sixty".