103201322240 has 72 divisors (see below), whose sum is σ = 247290032808. Its totient is φ = 41265397760.

The previous prime is 103201322233. The next prime is 103201322327. The reversal of 103201322240 is 42223102301.

It can be written as a sum of positive squares in 4 ways, for example, as 20634747904 + 82566574336 = 143648^2 + 287344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3879224 + ... + 3905736.

It is an arithmetic number, because the mean of its divisors is an integer number (3434583789).

Almost surely, 2^103201322240 is an apocalyptic number.

103201322240 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 103201322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123645016404).

103201322240 is an abundant number, since it is smaller than the sum of its proper divisors (144088710568).

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

103201322240 is an equidigital number, since it uses as much as digits as its factorization.

103201322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29575 (or 29561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103201322240 its reverse (42223102301), we get a palindrome (145424424541).

The spelling of 103201322240 in words is "one hundred three billion, two hundred one million, three hundred twenty-two thousand, two hundred forty".