10406144 has 36 divisors (see below), whose sum is σ = 23743104. Its totient is φ = 4459008.

The previous prime is 10406119. The next prime is 10406171. The reversal of 10406144 is 44160401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 4695.

Almost surely, 2^10406144 is an apocalyptic number.

10406144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10406144 is an abundant number, since it is smaller than the sum of its proper divisors (13336960).

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

10406144 is an frugal number, since it uses more digits than its factorization.

10406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10406144 is about 3225.8555454329. The cubic root of 10406144 is about 218.3215522394.

Adding to 10406144 its reverse (44160401), we get a palindrome (54566545).

The spelling of 10406144 in words is "ten million, four hundred six thousand, one hundred forty-four".