100238112 has 144 divisors (see below), whose sum is σ = 314948088. Its totient is φ = 30044160.

The previous prime is 100238107. The next prime is 100238183. The reversal of 100238112 is 211832001.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 71978256 = 5316^2 + 8484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 153178 + ... + 153830.

Almost surely, 2^100238112 is an apocalyptic number.

100238112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474044).

100238112 is an abundant number, since it is smaller than the sum of its proper divisors (214709976).

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

100238112 is a wasteful number, since it uses less digits than its factorization.

100238112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100238112 is about 10011.8985212596. The cubic root of 100238112 is about 464.5269973413.

The spelling of 100238112 in words is "one hundred million, two hundred thirty-eight thousand, one hundred twelve".