110221320 has 96 divisors (see below), whose sum is σ = 363504960. Its totient is φ = 26716800.

The previous prime is 110221277. The next prime is 110221333. The reversal of 110221320 is 23122011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110221296 and 110221305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10725 + ... + 18315.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^110221320 is an apocalyptic number.

110221320 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 110221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

110221320 is an abundant number, since it is smaller than the sum of its proper divisors (253283640).

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

110221320 is a wasteful number, since it uses less digits than its factorization.

110221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110221320 is about 10498.6341968849. The cubic root of 110221320 is about 479.4631149902.

Adding to 110221320 its reverse (23122011), we get a palindrome (133343331).

It can be divided in two parts, 1102 and 21320, that added together give a palindrome (22422).

The spelling of 110221320 in words is "one hundred ten million, two hundred twenty-one thousand, three hundred twenty".