103144000 has 56 divisors (see below), whose sum is σ = 255455928. Its totient is φ = 41254400.

The previous prime is 103143979. The next prime is 103144009. The reversal of 103144000 is 441301.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 100480576 = 1632^2 + 10024^2 .

It is not an unprimeable number, because it can be changed into a prime (103144009) 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 7 ways as a sum of consecutive naturals, for example, 1554 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (4561713).

Almost surely, 2^103144000 is an apocalyptic number.

103144000 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 103144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127727964).

103144000 is an abundant number, since it is smaller than the sum of its proper divisors (152311928).

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

103144000 is an equidigital number, since it uses as much as digits as its factorization.

103144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103144000 is about 10155.9834580409. The cubic root of 103144000 is about 468.9731618887.

Adding to 103144000 its reverse (441301), we get a palindrome (103585301).

The spelling of 103144000 in words is "one hundred three million, one hundred forty-four thousand".