107303220 has 72 divisors (see below), whose sum is σ = 327645864. Its totient is φ = 28424448.

The previous prime is 107303213. The next prime is 107303233. The reversal of 107303220 is 22303701.

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 105760656 = 1242^2 + 10284^2 .

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 = 107303193 and 107303202.

It is a congruent number.

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, 26362 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (4550637).

Almost surely, 2^107303220 is an apocalyptic number.

107303220 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 107303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163822932).

107303220 is an abundant number, since it is smaller than the sum of its proper divisors (220342644).

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

107303220 is a wasteful number, since it uses less digits than its factorization.

107303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 107303220 is about 10358.7267557360. The cubic root of 107303220 is about 475.1939669506.

Adding to 107303220 its reverse (22303701), we get a palindrome (129606921).

The spelling of 107303220 in words is "one hundred seven million, three hundred three thousand, two hundred twenty".