100144000 has 128 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 36352000.

The previous prime is 100143997. The next prime is 100144007. The reversal of 100144000 is 441001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144007) 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 15 ways as a sum of consecutive naturals, for example, 175716 + ... + 176284.

Almost surely, 2^100144000 is an apocalyptic number.

100144000 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 100144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

100144000 is an abundant number, since it is smaller than the sum of its proper divisors (171951200).

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

100144000 is an equidigital number, since it uses as much as digits as its factorization.

100144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100144000 is about 10007.1974098646. The cubic root of 100144000 is about 464.3815727686.

Adding to 100144000 its reverse (441001), we get a palindrome (100585001).

The spelling of 100144000 in words is "one hundred million, one hundred forty-four thousand".