103203430440 has 256 divisors, whose sum is σ = 348147072000. Its totient is φ = 24256972800.

The previous prime is 103203430439. The next prime is 103203430441. The reversal of 103203430440 is 44034302301.

It is an interprime number because it is at equal distance from previous prime (103203430439) and next prime (103203430441).

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 103203430440.

It is not an unprimeable number, because it can be changed into a prime (103203430441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8815711 + ... + 8827409.

It is an arithmetic number, because the mean of its divisors is an integer number (1359949500).

Almost surely, 2^103203430440 is an apocalyptic number.

103203430440 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 103203430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536000).

103203430440 is an abundant number, since it is smaller than the sum of its proper divisors (244943641560).

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

103203430440 is a wasteful number, since it uses less digits than its factorization.

103203430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103203430440 its reverse (44034302301), we get a palindrome (147237732741).

The spelling of 103203430440 in words is "one hundred three billion, two hundred three million, four hundred thirty thousand, four hundred forty".