102345320 has 192 divisors, whose sum is σ = 301397760. Its totient is φ = 30912000.

The previous prime is 102345319. The next prime is 102345337. The reversal of 102345320 is 23543201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102345292 and 102345301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013270 + ... + 1013370.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 2^102345320 is an apocalyptic number.

102345320 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 102345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

102345320 is an abundant number, since it is smaller than the sum of its proper divisors (199052440).

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

102345320 is a wasteful number, since it uses less digits than its factorization.

102345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 102345320 is about 10116.5863807907. The cubic root of 102345320 is about 467.7595496989.

Adding to 102345320 its reverse (23543201), we get a palindrome (125888521).

The spelling of 102345320 in words is "one hundred two million, three hundred forty-five thousand, three hundred twenty".