103112133522024 has 384 divisors, whose sum is σ = 312167518387200. Its totient is φ = 28228887244800.

The previous prime is 103112133522007. The next prime is 103112133522049. The reversal of 103112133522024 is 420225331211301.

It is a super-2 number, since 2×103112133522024² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103112133521982 and 103112133522000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419932152 + ... + 420177624.

It is an arithmetic number, because the mean of its divisors is an integer number (812936245800).

Almost surely, 2^{103112133522024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112133522024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156083759193600).

103112133522024 is an abundant number, since it is smaller than the sum of its proper divisors (209055384865176).

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

103112133522024 is a wasteful number, since it uses less digits than its factorization.

103112133522024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245877 (or 245862 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 103112133522024 its reverse (420225331211301), we get a palindrome (523337464733325).

The spelling of 103112133522024 in words is "one hundred three trillion, one hundred twelve billion, one hundred thirty-three million, five hundred twenty-two thousand, twenty-four".