105655110733 has 2 divisors, whose sum is σ = 105655110734. Its totient is φ = 105655110732.

The previous prime is 105655110697. The next prime is 105655110739. The reversal of 105655110733 is 337011556501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87655668489 + 17999442244 = 296067^2 + 134162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105655110733 is a prime.

It is a super-2 number, since 2×105655110733² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105655110692 and 105655110701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105655110739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827555366 + 52827555367.

It is an arithmetic number, because the mean of its divisors is an integer number (52827555367).

Almost surely, 2^105655110733 is an apocalyptic number.

It is an amenable number.

105655110733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655110733 is an equidigital number, since it uses as much as digits as its factorization.

105655110733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47250, while the sum is 37.

The spelling of 105655110733 in words is "one hundred five billion, six hundred fifty-five million, one hundred ten thousand, seven hundred thirty-three".