10800144 has 60 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 3571392.

The previous prime is 10800143. The next prime is 10800157. The reversal of 10800144 is 44100801.

It is a super-2 number, since 2×10800144² = 233286220841472, which contains 22 as substring.

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 (10800143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25567 + ... + 25985.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^10800144 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 10800144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

10800144 is an abundant number, since it is smaller than the sum of its proper divisors (19666656).

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

10800144 is a wasteful number, since it uses less digits than its factorization.

10800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10800144 is about 3286.3572538603. The cubic root of 10800144 is about 221.0428723225.

Adding to 10800144 its reverse (44100801), we get a palindrome (54900945).

The spelling of 10800144 in words is "ten million, eight hundred thousand, one hundred forty-four".