102320000 has 80 divisors (see below), whose sum is σ = 254918400. Its totient is φ = 40896000.

The previous prime is 102319979. The next prime is 102320003. The reversal of 102320000 is 23201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79361 + ... + 80639.

It is an arithmetic number, because the mean of its divisors is an integer number (3186480).

Almost surely, 2^102320000 is an apocalyptic number.

102320000 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 102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127459200).

102320000 is an abundant number, since it is smaller than the sum of its proper divisors (152598400).

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

102320000 is an frugal number, since it uses more digits than its factorization.

102320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 102320000 is about 10115.3348931214. The cubic root of 102320000 is about 467.7209723002.

Adding to 102320000 its reverse (23201), we get a palindrome (102343201).

The spelling of 102320000 in words is "one hundred two million, three hundred twenty thousand".