103503531120 has 640 divisors, whose sum is σ = 372404736000. Its totient is φ = 23549460480.

The previous prime is 103503531059. The next prime is 103503531127. The reversal of 103503531120 is 21135305301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103503531127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659258082 + ... + 659258238.

It is an arithmetic number, because the mean of its divisors is an integer number (581882400).

Almost surely, 2^103503531120 is an apocalyptic number.

103503531120 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 103503531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186202368000).

103503531120 is an abundant number, since it is smaller than the sum of its proper divisors (268901204880).

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

103503531120 is a wasteful number, since it uses less digits than its factorization.

103503531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 103503531120 its reverse (21135305301), we get a palindrome (124638836421).

The spelling of 103503531120 in words is "one hundred three billion, five hundred three million, five hundred thirty-one thousand, one hundred twenty".