10026112 has 64 divisors (see below), whose sum is σ = 21511800. Its totient is φ = 4644864.

The previous prime is 10026109. The next prime is 10026119. The reversal of 10026112 is 21162001.

10026112 = 334² + 335² + ... + 406².

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 141376 = 3144^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10026092 and 10026101.

It is not an unprimeable number, because it can be changed into a prime (10026119) 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, 137308 + ... + 137380.

Almost surely, 2^10026112 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 10026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755900).

10026112 is an abundant number, since it is smaller than the sum of its proper divisors (11485688).

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

10026112 is an equidigital number, since it uses as much as digits as its factorization.

10026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10026112 is about 3166.4036381990. The cubic root of 10026112 is about 215.6308280158.

Adding to 10026112 its reverse (21162001), we get a palindrome (31188113).

The spelling of 10026112 in words is "ten million, twenty-six thousand, one hundred twelve".