105144000 has 224 divisors, whose sum is σ = 375001536. Its totient is φ = 25804800.

The previous prime is 105143993. The next prime is 105144001. The reversal of 105144000 is 441501.

It is a super-2 number, since 2×105144000² = 22110521472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311832 + ... + 312168.

It is an arithmetic number, because the mean of its divisors is an integer number (1674114).

Almost surely, 2^105144000 is an apocalyptic number.

105144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187500768).

105144000 is an abundant number, since it is smaller than the sum of its proper divisors (269857536).

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

105144000 is a wasteful number, since it uses less digits than its factorization.

105144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105144000 is about 10253.9748390563. The cubic root of 105144000 is about 471.9849655271.

Adding to 105144000 its reverse (441501), we get a palindrome (105585501).

The spelling of 105144000 in words is "one hundred five million, one hundred forty-four thousand".