103221004320 has 384 divisors, whose sum is σ = 413369671680. Its totient is φ = 23565634560.

The previous prime is 103221004297. The next prime is 103221004399. The reversal of 103221004320 is 23400122301.

103221004320 is a `hidden beast` number, since 10 + 3 + 221 + 0 + 0 + 432 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103221004293 and 103221004302.

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 63 ways as a sum of consecutive naturals, for example, 36982125 + ... + 36984915.

It is an arithmetic number, because the mean of its divisors is an integer number (1076483520).

Almost surely, 2^103221004320 is an apocalyptic number.

103221004320 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 103221004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206684835840).

103221004320 is an abundant number, since it is smaller than the sum of its proper divisors (310148667360).

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

103221004320 is a wasteful number, since it uses less digits than its factorization.

103221004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103221004320 its reverse (23400122301), we get a palindrome (126621126621).

The spelling of 103221004320 in words is "one hundred three billion, two hundred twenty-one million, four thousand, three hundred twenty".