10704144 has 120 divisors (see below), whose sum is σ = 32324320. Its totient is φ = 3041280.

The previous prime is 10704143. The next prime is 10704149. The reversal of 10704144 is 44140701.

It is a super-2 number, since 2×10704144² = 229157397545472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10704144.

It is not an unprimeable number, because it can be changed into a prime (10704143) 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, 110304 + ... + 110400.

Almost surely, 2^10704144 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 10704144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162160).

10704144 is an abundant number, since it is smaller than the sum of its proper divisors (21620176).

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

10704144 is a wasteful number, since it uses less digits than its factorization.

10704144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 10704144 is about 3271.7188143237. The cubic root of 10704144 is about 220.3859890545.

Adding to 10704144 its reverse (44140701), we get a palindrome (54844845).

The spelling of 10704144 in words is "ten million, seven hundred four thousand, one hundred forty-four".