100300144 has 40 divisors (see below), whose sum is σ = 223378560. Its totient is φ = 42737088.

The previous prime is 100300127. The next prime is 100300163. The reversal of 100300144 is 441003001.

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, 17547 + ... + 22549.

It is an arithmetic number, because the mean of its divisors is an integer number (5584464).

Almost surely, 2^100300144 is an apocalyptic number.

100300144 is a gapful number since it is divisible by the number (14) 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 100300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111689280).

100300144 is an abundant number, since it is smaller than the sum of its proper divisors (123078416).

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

100300144 is a wasteful number, since it uses less digits than its factorization.

100300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5191 counting only the distinct ones).

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

The square root of 100300144 is about 10014.9959560651. The cubic root of 100300144 is about 464.6228012095.

Adding to 100300144 its reverse (441003001), we get a palindrome (541303145).

The spelling of 100300144 in words is "one hundred million, three hundred thousand, one hundred forty-four".