103320100032 has 112 divisors (see below), whose sum is σ = 287286143232. Its totient is φ = 32729840640.

The previous prime is 103320100007. The next prime is 103320100033. The reversal of 103320100032 is 230001023301.

It is a junction number, because it is equal to n+sod(n) for n = 103320099984 and 103320100020.

It is not an unprimeable number, because it can be changed into a prime (103320100033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136357 + ... + 474587.

Almost surely, 2^103320100032 is an apocalyptic number.

103320100032 is a gapful number since it is divisible by the number (12) 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 103320100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143643071616).

103320100032 is an abundant number, since it is smaller than the sum of its proper divisors (183966043200).

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

103320100032 is a wasteful number, since it uses less digits than its factorization.

103320100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338326 (or 338316 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103320100032 its reverse (230001023301), we get a palindrome (333321123333).

The spelling of 103320100032 in words is "one hundred three billion, three hundred twenty million, one hundred thousand, thirty-two".