103301120 has 120 divisors (see below), whose sum is σ = 269737944. Its totient is φ = 37748736.

The previous prime is 103301113. The next prime is 103301147. The reversal of 103301120 is 21103301.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 102252544 = 1024^2 + 10112^2 .

It is a super-2 number, since 2×103301120² = 21342242786508800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064912 + ... + 1065008.

Almost surely, 2^103301120 is an apocalyptic number.

103301120 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 103301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134868972).

103301120 is an abundant number, since it is smaller than the sum of its proper divisors (166436824).

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

103301120 is an frugal number, since it uses more digits than its factorization.

103301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 103301120 is about 10163.7158559259. The cubic root of 103301120 is about 469.2111711438.

Adding to 103301120 its reverse (21103301), we get a palindrome (124404421).

The spelling of 103301120 in words is "one hundred three million, three hundred one thousand, one hundred twenty".