10034112 has 56 divisors (see below), whose sum is σ = 28968192. Its totient is φ = 3040000.

The previous prime is 10034083. The next prime is 10034113. The reversal of 10034112 is 21143001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034113) 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, 264 + ... + 4487.

Almost surely, 2^10034112 is an apocalyptic number.

10034112 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 10034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484096).

10034112 is an abundant number, since it is smaller than the sum of its proper divisors (18934080).

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

10034112 is a wasteful number, since it uses less digits than its factorization.

10034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10034112 is about 3167.6666491283. Note that the first 4 decimals coincide. The cubic root of 10034112 is about 215.6881645657.

Adding to 10034112 its reverse (21143001), we get a palindrome (31177113).

Subtracting 10034112 from its reverse (21143001), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1003 and 4112, that added together give a palindrome (5115).

The spelling of 10034112 in words is "ten million, thirty-four thousand, one hundred twelve".