103221022320 has 720 divisors, whose sum is σ = 391044337632. Its totient is φ = 24368947200.

The previous prime is 103221022273. The next prime is 103221022321. The reversal of 103221022320 is 23220122301.

103221022320 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 0 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 103221022293 and 103221022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103221022321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 454718047 + ... + 454718273.

Almost surely, 2^103221022320 is an apocalyptic number.

103221022320 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 103221022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195522168816).

103221022320 is an abundant number, since it is smaller than the sum of its proper divisors (287823315312).

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

103221022320 is a wasteful number, since it uses less digits than its factorization.

103221022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

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

Adding to 103221022320 its reverse (23220122301), we get a palindrome (126441144621).

The spelling of 103221022320 in words is "one hundred three billion, two hundred twenty-one million, twenty-two thousand, three hundred twenty".