100320112 has 80 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 45619200.

The previous prime is 100320109. The next prime is 100320127. The reversal of 100320112 is 211023001.

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, 920314 + ... + 920422.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 2^100320112 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 100320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

100320112 is an abundant number, since it is smaller than the sum of its proper divisors (112791248).

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

100320112 is a wasteful number, since it uses less digits than its factorization.

100320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100320112 is about 10015.9928114990. The cubic root of 100320112 is about 464.6536319146.

Adding to 100320112 its reverse (211023001), we get a palindrome (311343113).

It can be divided in two parts, 1003 and 20112, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 100320112 in words is "one hundred million, three hundred twenty thousand, one hundred twelve".