103112103020032 has 320 divisors, whose sum is σ = 228438054028800. Its totient is φ = 46306878750720.

The previous prime is 103112103020021. The next prime is 103112103020033. The reversal of 103112103020032 is 230020301211301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 103112103019991 and 103112103020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112103020033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13562024743 + ... + 13562032345.

It is an arithmetic number, because the mean of its divisors is an integer number (713868918840).

Almost surely, 2^{103112103020032} 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 103112103020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114219027014400).

103112103020032 is an abundant number, since it is smaller than the sum of its proper divisors (125325951008768).

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

103112103020032 is an equidigital number, since it uses as much as digits as its factorization.

103112103020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103112103020032 its reverse (230020301211301), we get a palindrome (333132404231333).

The spelling of 103112103020032 in words is "one hundred three trillion, one hundred twelve billion, one hundred three million, twenty thousand, thirty-two".