42100112 has 40 divisors (see below), whose sum is σ = 86478840. Its totient is φ = 19819520.

The previous prime is 42100111. The next prime is 42100151. The reversal of 42100112 is 21100124.

It can be written as a sum of positive squares in 4 ways, for example, as 8737936 + 33362176 = 2956^2 + 5776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42100093 and 42100102.

It is not an unprimeable number, because it can be changed into a prime (42100111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17918 + ... + 20130.

It is an arithmetic number, because the mean of its divisors is an integer number (2161971).

Almost surely, 2^42100112 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 42100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43239420).

42100112 is an abundant number, since it is smaller than the sum of its proper divisors (44378728).

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

42100112 is a wasteful number, since it uses less digits than its factorization.

42100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42100112 is about 6488.4599097166. The cubic root of 42100112 is about 347.8786294502.

Adding to 42100112 its reverse (21100124), we get a palindrome (63200236).

The spelling of 42100112 in words is "forty-two million, one hundred thousand, one hundred twelve".