103410416033 has 16 divisors (see below), whose sum is σ = 112775115600. Its totient is φ = 94425440256.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416033 is 330614014301.

It can be written as a sum of positive squares in 8 ways, for example, as 20110643344 + 83299772689 = 141812^2 + 288617^2 .

It is a cyclic number.

It is not a de Polignac number, because 103410416033 - 2⁸ = 103410415777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103410415993 and 103410416011.

It is not an unprimeable number, because it can be changed into a prime (103410416003) by changing a digit.

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, 16016 + ... + 455057.

It is an arithmetic number, because the mean of its divisors is an integer number (7048444725).

Almost surely, 2^103410416033 is an apocalyptic number.

It is an amenable number.

103410416033 is a deficient number, since it is larger than the sum of its proper divisors (9364699567).

103410416033 is a wasteful number, since it uses less digits than its factorization.

103410416033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471476.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 103410416033 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, thirty-three".