103220440440 has 256 divisors, whose sum is σ = 357661785600. Its totient is φ = 23616313344.

The previous prime is 103220440439. The next prime is 103220440441. The reversal of 103220440440 is 44044022301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103220440439) and next prime (103220440441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103220440440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103220440441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538067 + ... + 1603773.

It is an arithmetic number, because the mean of its divisors is an integer number (1397116350).

Almost surely, 2^103220440440 is an apocalyptic number.

103220440440 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 103220440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178830892800).

103220440440 is an abundant number, since it is smaller than the sum of its proper divisors (254441345160).

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

103220440440 is a wasteful number, since it uses less digits than its factorization.

103220440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65806 (or 65802 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 103220440440 its reverse (44044022301), we get a palindrome (147264462741).

The spelling of 103220440440 in words is "one hundred three billion, two hundred twenty million, four hundred forty thousand, four hundred forty".