100144144 has 40 divisors (see below), whose sum is σ = 206122968. Its totient is φ = 46970880.

The previous prime is 100144097. The next prime is 100144183. The reversal of 100144144 is 441441001.

It can be written as a sum of positive squares in 4 ways, for example, as 19360000 + 80784144 = 4400^2 + 8988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151174 + ... + 151834.

Almost surely, 2^100144144 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 100144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103061484).

100144144 is an abundant number, since it is smaller than the sum of its proper divisors (105978824).

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

100144144 is a wasteful number, since it uses less digits than its factorization.

100144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 100144144 is about 10007.2046046836. The cubic root of 100144144 is about 464.3817953511.

Adding to 100144144 its reverse (441441001), we get a palindrome (541585145).

It can be divided in two parts, 1001 and 44144, that multiplied together give a palindrome (44188144).

The spelling of 100144144 in words is "one hundred million, one hundred forty-four thousand, one hundred forty-four".