103105205243040 has 2304 divisors, whose sum is σ = 466700971290624. Its totient is φ = 18553851740160.

The previous prime is 103105205243021. The next prime is 103105205243071. The reversal of 103105205243040 is 40342502501301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103105205242989 and 103105205243007.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31177865067 + ... + 31177868373.

It is an arithmetic number, because the mean of its divisors is an integer number (202561185456).

Almost surely, 2^{103105205243040} is an apocalyptic number.

103105205243040 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 103105205243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233350485645312).

103105205243040 is an abundant number, since it is smaller than the sum of its proper divisors (363595766047584).

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

103105205243040 is a wasteful number, since it uses less digits than its factorization.

103105205243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 103105205243040 its reverse (40342502501301), we get a palindrome (143447707744341).

The spelling of 103105205243040 in words is "one hundred three trillion, one hundred five billion, two hundred five million, two hundred forty-three thousand, forty".