103143414121344 has 192 divisors, whose sum is σ = 297784424349360. Its totient is φ = 34267881111552.

The previous prime is 103143414121343. The next prime is 103143414121367. The reversal of 103143414121344 is 443121414341301.

103143414121344 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 434 + 1 + 4 + 1 + 213 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103143414121299 and 103143414121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103143414121343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895805602 + ... + 895920734.

Almost surely, 2^{103143414121344} 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 103143414121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148892212174680).

103143414121344 is an abundant number, since it is smaller than the sum of its proper divisors (194641010228016).

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

103143414121344 is a wasteful number, since it uses less digits than its factorization.

103143414121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117709 (or 117694 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 103143414121344 its reverse (443121414341301), we get a palindrome (546264828462645).

The spelling of 103143414121344 in words is "one hundred three trillion, one hundred forty-three billion, four hundred fourteen million, one hundred twenty-one thousand, three hundred forty-four".