100103112 has 48 divisors (see below), whose sum is σ = 274560000. Its totient is φ = 32943456.

The previous prime is 100103111. The next prime is 100103119. The reversal of 100103112 is 211301001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100103094 and 100103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3112 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (5720000).

Almost surely, 2^100103112 is an apocalyptic number.

100103112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103112 is an abundant number, since it is smaller than the sum of its proper divisors (174456888).

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

100103112 is a wasteful number, since it uses less digits than its factorization.

100103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17690 (or 17683 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100103112 is about 10005.1542716742. The cubic root of 100103112 is about 464.3183630622.

Adding to 100103112 its reverse (211301001), we get a palindrome (311404113).

The spelling of 100103112 in words is "one hundred million, one hundred three thousand, one hundred twelve".