10735233103057 has 2 divisors, whose sum is σ = 10735233103058. Its totient is φ = 10735233103056.

The previous prime is 10735233103051. The next prime is 10735233103069. The reversal of 10735233103057 is 75030133253701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8443185472656 + 2292047630401 = 2905716^2 + 1513951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10735233103057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10735233103051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367616551528 + 5367616551529.

It is an arithmetic number, because the mean of its divisors is an integer number (5367616551529).

Almost surely, 2^{10735233103057} is an apocalyptic number.

It is an amenable number.

10735233103057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735233103057 is an equidigital number, since it uses as much as digits as its factorization.

10735233103057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 198450, while the sum is 40.

Adding to 10735233103057 its reverse (75030133253701), we get a palindrome (85765366356758).

The spelling of 10735233103057 in words is "ten trillion, seven hundred thirty-five billion, two hundred thirty-three million, one hundred three thousand, fifty-seven".