103433412433105 has 64 divisors (see below), whose sum is σ = 132305667520320. Its totient is φ = 77487479193600.

The previous prime is 103433412433093. The next prime is 103433412433147. The reversal of 103433412433105 is 501334214334301.

It can be written as a sum of positive squares in 32 ways, for example, as 81967528102464 + 21465884330641 = 9053592^2 + 4633129^2 .

It is not a de Polignac number, because 103433412433105 - 2⁹ = 103433412432593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 723274489 + ... + 723417481.

It is an arithmetic number, because the mean of its divisors is an integer number (2067276055005).

Almost surely, 2^{103433412433105} is an apocalyptic number.

It is an amenable number.

103433412433105 is a deficient number, since it is larger than the sum of its proper divisors (28872255087215).

103433412433105 is a wasteful number, since it uses less digits than its factorization.

103433412433105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143782.

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 103433412433105 its reverse (501334214334301), we get a palindrome (604767626767406).

The spelling of 103433412433105 in words is "one hundred three trillion, four hundred thirty-three billion, four hundred twelve million, four hundred thirty-three thousand, one hundred five".