100003112 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 41648640.

The previous prime is 100003091. The next prime is 100003151. The reversal of 100003112 is 211300001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100003112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970853 + ... + 970955.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^100003112 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 100003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

100003112 is an abundant number, since it is smaller than the sum of its proper divisors (124075288).

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

100003112 is a wasteful number, since it uses less digits than its factorization.

100003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100003112 is about 10000.1555987895. The cubic root of 100003112 is about 464.1636981861.

Adding to 100003112 its reverse (211300001), we get a palindrome (311303113).

The spelling of 100003112 in words is "one hundred million, three thousand, one hundred twelve".