103355145215040 has 224 divisors, whose sum is σ = 331179202658304. Its totient is φ = 27308229621760.

The previous prime is 103355145215039. The next prime is 103355145215071. The reversal of 103355145215040 is 40512541553301.

It is a self number, because there is not a number n which added to its sum of digits gives 103355145215040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48823057 + ... + 50895983.

It is an arithmetic number, because the mean of its divisors is an integer number (1478478583296).

Almost surely, 2^{103355145215040} is an apocalyptic number.

103355145215040 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 103355145215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165589601329152).

103355145215040 is an abundant number, since it is smaller than the sum of its proper divisors (227824057443264).

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

103355145215040 is a wasteful number, since it uses less digits than its factorization.

103355145215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073425 (or 2073415 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 103355145215040 its reverse (40512541553301), we get a palindrome (143867686768341).

The spelling of 103355145215040 in words is "one hundred three trillion, three hundred fifty-five billion, one hundred forty-five million, two hundred fifteen thousand, forty".