103431021134144 has 112 divisors (see below), whose sum is σ = 227708815152960. Its totient is φ = 46215390658560.

The previous prime is 103431021134123. The next prime is 103431021134149. The reversal of 103431021134144 is 441431120134301.

It is a happy number.

It is a super-2 number, since 2×103431021134144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 103431021134144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103431021134149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1884751634 + ... + 1884806510.

Almost surely, 2^{103431021134144} 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 103431021134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113854407576480).

103431021134144 is an abundant number, since it is smaller than the sum of its proper divisors (124277794018816).

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

103431021134144 is a wasteful number, since it uses less digits than its factorization.

103431021134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100336 (or 100326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 103431021134144 its reverse (441431120134301), we get a palindrome (544862141268445).

The spelling of 103431021134144 in words is "one hundred three trillion, four hundred thirty-one billion, twenty-one million, one hundred thirty-four thousand, one hundred forty-four".