100103220032 has 112 divisors (see below), whose sum is σ = 215631857280. Its totient is φ = 45950976000.

The previous prime is 100103220029. The next prime is 100103220043. The reversal of 100103220032 is 230022301001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100103219989 and 100103220016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7521608 + ... + 7534904.

It is an arithmetic number, because the mean of its divisors is an integer number (1925284440).

Almost surely, 2^100103220032 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 100103220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107815928640).

100103220032 is an abundant number, since it is smaller than the sum of its proper divisors (115528637248).

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

100103220032 is a wasteful number, since it uses less digits than its factorization.

100103220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13520 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100103220032 its reverse (230022301001), we get a palindrome (330125521033).

The spelling of 100103220032 in words is "one hundred billion, one hundred three million, two hundred twenty thousand, thirty-two".