103512035353041 has 72 divisors (see below), whose sum is σ = 174845606106600. Its totient is φ = 58838271851520.

The previous prime is 103512035353021. The next prime is 103512035353079. The reversal of 103512035353041 is 140353530215301.

103512035353041 is a `hidden beast` number, since 1 + 0 + 3 + 51 + 2 + 0 + 3 + 535 + 30 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17376392250000 + 86135643103041 = 4168500^2 + 9280929^2 .

It is not a de Polignac number, because 103512035353041 - 2¹⁴ = 103512035336657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103512035352987 and 103512035353005.

It is not an unprimeable number, because it can be changed into a prime (103512035353021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111534681 + ... + 112458921.

It is an arithmetic number, because the mean of its divisors is an integer number (2428411195925).

Almost surely, 2^{103512035353041} is an apocalyptic number.

It is an amenable number.

103512035353041 is a deficient number, since it is larger than the sum of its proper divisors (71333570753559).

103512035353041 is a wasteful number, since it uses less digits than its factorization.

103512035353041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925599 (or 925589 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 103512035353041 its reverse (140353530215301), we get a palindrome (243865565568342).

The spelling of 103512035353041 in words is "one hundred three trillion, five hundred twelve billion, thirty-five million, three hundred fifty-three thousand, forty-one".