10112544 has 144 divisors (see below), whose sum is σ = 32242392. Its totient is φ = 2985984.

The previous prime is 10112537. The next prime is 10112549. The reversal of 10112544 is 44521101.

10112544 is a `hidden beast` number, since 10 + 112 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9072144 + 1040400 = 3012^2 + 1020^2 .

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 not an unprimeable number, because it can be changed into a prime (10112549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138492 + ... + 138564.

Almost surely, 2^10112544 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 10112544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121196).

10112544 is an abundant number, since it is smaller than the sum of its proper divisors (22129848).

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

10112544 is a wasteful number, since it uses less digits than its factorization.

10112544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10112544 is about 3180.0226414288. The cubic root of 10112544 is about 216.2486847682.

Adding to 10112544 its reverse (44521101), we get a palindrome (54633645).

The spelling of 10112544 in words is "ten million, one hundred twelve thousand, five hundred forty-four".