103322320 has 40 divisors (see below), whose sum is σ = 242082720. Its totient is φ = 41009280.

The previous prime is 103322291. The next prime is 103322333. The reversal of 103322320 is 23223301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103322294 and 103322303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5551 + ... + 15409.

It is an arithmetic number, because the mean of its divisors is an integer number (6052068).

Almost surely, 2^103322320 is an apocalyptic number.

103322320 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 103322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121041360).

103322320 is an abundant number, since it is smaller than the sum of its proper divisors (138760400).

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

103322320 is a wasteful number, since it uses less digits than its factorization.

103322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 103322320 is about 10164.7587280761. The cubic root of 103322320 is about 469.2432669443.

Adding to 103322320 its reverse (23223301), we get a palindrome (126545621).

The spelling of 103322320 in words is "one hundred three million, three hundred twenty-two thousand, three hundred twenty".