100103232112 has 80 divisors (see below), whose sum is σ = 213703336000. Its totient is φ = 45142272000.

The previous prime is 100103232107. The next prime is 100103232121. The reversal of 100103232112 is 211232301001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1889764 + ... + 1942012.

It is an arithmetic number, because the mean of its divisors is an integer number (2671291700).

Almost surely, 2^100103232112 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 100103232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106851668000).

100103232112 is an abundant number, since it is smaller than the sum of its proper divisors (113600103888).

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

100103232112 is a wasteful number, since it uses less digits than its factorization.

100103232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52482 (or 52476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100103232112 its reverse (211232301001), we get a palindrome (311335533113).

The spelling of 100103232112 in words is "one hundred billion, one hundred three million, two hundred thirty-two thousand, one hundred twelve".