103630234032144 has 120 divisors (see below), whose sum is σ = 306998682344640. Its totient is φ = 32576625236736.

The previous prime is 103630234032131. The next prime is 103630234032209. The reversal of 103630234032144 is 441230432036301.

It is a happy number.

103630234032144 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 30 + 2 + 3 + 403 + 214 + 4 = 666.

103630234032144 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-3 number, since 3×103630234032144³ (a number of 43 digits) contains 333 as substring.

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 = 103630234032099 and 103630234032108.

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 23 ways as a sum of consecutive naturals, for example, 288374724 + ... + 288733859.

It is an arithmetic number, because the mean of its divisors is an integer number (2558322352872).

Almost surely, 2^{103630234032144} is an apocalyptic number.

It is an amenable number.

103630234032144 is an abundant number, since it is smaller than the sum of its proper divisors (203368448312496).

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

103630234032144 is a wasteful number, since it uses less digits than its factorization.

103630234032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577108669 (or 577108660 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 103630234032144 its reverse (441230432036301), we get a palindrome (544860666068445).

The spelling of 103630234032144 in words is "one hundred three trillion, six hundred thirty billion, two hundred thirty-four million, thirty-two thousand, one hundred forty-four".