100304040144 has 160 divisors (see below), whose sum is σ = 324163252224. Its totient is φ = 25963799040.

The previous prime is 100304040103. The next prime is 100304040157. The reversal of 100304040144 is 441040403001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100304040144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036617 + ... + 1129239.

Almost surely, 2^100304040144 is an apocalyptic number.

100304040144 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 100304040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162081626112).

100304040144 is an abundant number, since it is smaller than the sum of its proper divisors (223859212080).

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

100304040144 is a wasteful number, since it uses less digits than its factorization.

100304040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92945 (or 92939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100304040144 its reverse (441040403001), we get a palindrome (541344443145).

The spelling of 100304040144 in words is "one hundred billion, three hundred four million, forty thousand, one hundred forty-four".