103220000 has 120 divisors (see below), whose sum is σ = 274159116. Its totient is φ = 38016000.

The previous prime is 103219979. The next prime is 103220003. The reversal of 103220000 is 22301.

It can be written as a sum of positive squares in 10 ways, for example, as 15085456 + 88134544 = 3884^2 + 9388^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 103220000.

It is not an unprimeable number, because it can be changed into a prime (103220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259802 + ... + 260198.

Almost surely, 2^103220000 is an apocalyptic number.

103220000 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 103220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137079558).

103220000 is an abundant number, since it is smaller than the sum of its proper divisors (170939116).

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

103220000 is an equidigital number, since it uses as much as digits as its factorization.

103220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103220000 is about 10159.7244057110. The cubic root of 103220000 is about 469.0883187238.

Adding to 103220000 its reverse (22301), we get a palindrome (103242301).

The spelling of 103220000 in words is "one hundred three million, two hundred twenty thousand".