103003312440 has 256 divisors, whose sum is σ = 370342886400. Its totient is φ = 22419984384.

The previous prime is 103003312439. The next prime is 103003312441. The reversal of 103003312440 is 44213300301.

It is an interprime number because it is at equal distance from previous prime (103003312439) and next prime (103003312441).

It is a super-2 number, since 2×103003312440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103003312441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749319 + ... + 1807241.

It is an arithmetic number, because the mean of its divisors is an integer number (1446651900).

Almost surely, 2^103003312440 is an apocalyptic number.

103003312440 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 103003312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185171443200).

103003312440 is an abundant number, since it is smaller than the sum of its proper divisors (267339573960).

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

103003312440 is a wasteful number, since it uses less digits than its factorization.

103003312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58046 (or 58042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103003312440 its reverse (44213300301), we get a palindrome (147216612741).

The spelling of 103003312440 in words is "one hundred three billion, three million, three hundred twelve thousand, four hundred forty".