103220221320 has 160 divisors (see below), whose sum is σ = 351327081600. Its totient is φ = 27176902272.

The previous prime is 103220221283. The next prime is 103220221409. The reversal of 103220221320 is 23122022301.

103220221320 is a `hidden beast` number, since 1 + 0 + 322 + 0 + 2 + 21 + 320 = 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 = 103220221293 and 103220221302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54327 + ... + 457593.

It is an arithmetic number, because the mean of its divisors is an integer number (2195794260).

Almost surely, 2^103220221320 is an apocalyptic number.

103220221320 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 103220221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175663540800).

103220221320 is an abundant number, since it is smaller than the sum of its proper divisors (248106860280).

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

103220221320 is a wasteful number, since it uses less digits than its factorization.

103220221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403369 (or 403356 counting only the distinct ones).

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

Adding to 103220221320 its reverse (23122022301), we get a palindrome (126342243621).

The spelling of 103220221320 in words is "one hundred three billion, two hundred twenty million, two hundred twenty-one thousand, three hundred twenty".