10506144 has 48 divisors (see below), whose sum is σ = 30088800. Its totient is φ = 3183360.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506144 is 44160501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10506144² = 220758123497472, 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 10506144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3919 + ... + 6030.

It is an arithmetic number, because the mean of its divisors is an integer number (626850).

Almost surely, 2^10506144 is an apocalyptic number.

It is an amenable number.

10506144 is an abundant number, since it is smaller than the sum of its proper divisors (19582656).

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

10506144 is a wasteful number, since it uses less digits than its factorization.

10506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10506144 is about 3241.3182503420. The cubic root of 10506144 is about 219.0186594055.

Adding to 10506144 its reverse (44160501), we get a palindrome (54666645).

The spelling of 10506144 in words is "ten million, five hundred six thousand, one hundred forty-four".