100003401144 has 64 divisors (see below), whose sum is σ = 277868102400. Its totient is φ = 33324761952.

The previous prime is 100003401137. The next prime is 100003401181. The reversal of 100003401144 is 441104300001.

It is a super-4 number, since 4×100003401144⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696199 + ... + 827465.

It is an arithmetic number, because the mean of its divisors is an integer number (4341689100).

Almost surely, 2^100003401144 is an apocalyptic number.

It is an amenable number.

100003401144 is an abundant number, since it is smaller than the sum of its proper divisors (177864701256).

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

100003401144 is a wasteful number, since it uses less digits than its factorization.

100003401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134809 (or 134799 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100003401144 its reverse (441104300001), we get a palindrome (541107701145).

The spelling of 100003401144 in words is "one hundred billion, three million, four hundred one thousand, one hundred forty-four".