10362144 has 144 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 2889216.

The previous prime is 10362139. The next prime is 10362151. The reversal of 10362144 is 44126301.

It is a super-3 number, since 3×10362144³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10362144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450517 + ... + 450539.

It is an arithmetic number, because the mean of its divisors is an integer number (224028).

Almost surely, 2^10362144 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 10362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

10362144 is an abundant number, since it is smaller than the sum of its proper divisors (21897888).

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

10362144 is a wasteful number, since it uses less digits than its factorization.

10362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10362144 is about 3219.0284248512. The cubic root of 10362144 is about 218.0134099430.

Adding to 10362144 its reverse (44126301), we get a palindrome (54488445).

It can be divided in two parts, 10362 and 144, that multiplied together give a triangular number (1492128 = T₁₇₂₇).

The spelling of 10362144 in words is "ten million, three hundred sixty-two thousand, one hundred forty-four".