103533360040 has 256 divisors, whose sum is σ = 266177560320. Its totient is φ = 35911434240.

The previous prime is 103533360013. The next prime is 103533360043. The reversal of 103533360040 is 40063335301.

It is a junction number, because it is equal to n+sod(n) for n = 103533359990 and 103533360008.

It is not an unprimeable number, because it can be changed into a prime (103533360043) 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, 260789122 + ... + 260789518.

It is an arithmetic number, because the mean of its divisors is an integer number (1039756095).

Almost surely, 2^103533360040 is an apocalyptic number.

103533360040 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 103533360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133088780160).

103533360040 is an abundant number, since it is smaller than the sum of its proper divisors (162644200280).

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

103533360040 is a wasteful number, since it uses less digits than its factorization.

103533360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 103533360040 its reverse (40063335301), we get a palindrome (143596695341).

The spelling of 103533360040 in words is "one hundred three billion, five hundred thirty-three million, three hundred sixty thousand, forty".