103503530415360 has 576 divisors, whose sum is σ = 346174456320000. Its totient is φ = 26306359394304.

The previous prime is 103503530415359. The next prime is 103503530415401. The reversal of 103503530415360 is 63514035305301.

It is a super-2 number, since 2×103503530415360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35653987669 + ... + 35653990571.

It is an arithmetic number, because the mean of its divisors is an integer number (600997320000).

Almost surely, 2^{103503530415360} is an apocalyptic number.

103503530415360 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 103503530415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173087228160000).

103503530415360 is an abundant number, since it is smaller than the sum of its proper divisors (242670925904640).

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

103503530415360 is a wasteful number, since it uses less digits than its factorization.

103503530415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 103503530415360 in words is "one hundred three trillion, five hundred three billion, five hundred thirty million, four hundred fifteen thousand, three hundred sixty".