100303414404144 has 80 divisors (see below), whose sum is σ = 298095041886720. Its totient is φ = 28468329523200.

The previous prime is 100303414404113. The next prime is 100303414404173. The reversal of 100303414404144 is 441404414303001.

100303414404144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100303414404144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988432929 + ... + 988534400.

It is an arithmetic number, because the mean of its divisors is an integer number (3726188023584).

Almost surely, 2^{100303414404144} is an apocalyptic number.

100303414404144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100303414404144 is an abundant number, since it is smaller than the sum of its proper divisors (197791627482576).

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

100303414404144 is a wasteful number, since it uses less digits than its factorization.

100303414404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976967498 (or 1976967492 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 100303414404144 its reverse (441404414303001), we get a palindrome (541707828707145).

The spelling of 100303414404144 in words is "one hundred trillion, three hundred three billion, four hundred fourteen million, four hundred four thousand, one hundred forty-four".