10045112 has 64 divisors (see below), whose sum is σ = 24537600. Its totient is φ = 3738240.

The previous prime is 10045103. The next prime is 10045117. The reversal of 10045112 is 21154001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13814 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (383400).

Almost surely, 2^10045112 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 10045112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268800).

10045112 is an abundant number, since it is smaller than the sum of its proper divisors (14492488).

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

10045112 is a wasteful number, since it uses less digits than its factorization.

10045112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10045112 is about 3169.4024673430. The cubic root of 10045112 is about 215.7669525825.

Adding to 10045112 its reverse (21154001), we get a palindrome (31199113).

Subtracting 10045112 from its reverse (21154001), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1004 and 5112, that added together give a palindrome (6116).

The spelling of 10045112 in words is "ten million, forty-five thousand, one hundred twelve".