105526032783349 has 2 divisors, whose sum is σ = 105526032783350. Its totient is φ = 105526032783348.

The previous prime is 105526032783229. The next prime is 105526032783407. The reversal of 105526032783349 is 943387230625501.

It is an a-pointer prime, because the next prime (105526032783407) can be obtained adding 105526032783349 to its sum of digits (58).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84979820402500 + 20546212380849 = 9218450^2 + 4532793^2 .

It is an emirp because it is prime and its reverse (943387230625501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105526032783349 - 2⁹ = 105526032782837 is a prime.

It is a super-2 number, since 2×105526032783349² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105526032783293 and 105526032783302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105521032783349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52763016391674 + 52763016391675.

It is an arithmetic number, because the mean of its divisors is an integer number (52763016391675).

It is a 1-persistent number, because it is pandigital, but 2⋅105526032783349 = 211052065566698 is not.

Almost surely, 2^{105526032783349} is an apocalyptic number.

It is an amenable number.

105526032783349 is a deficient number, since it is larger than the sum of its proper divisors (1).

105526032783349 is an equidigital number, since it uses as much as digits as its factorization.

105526032783349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 105526032783349 in words is "one hundred five trillion, five hundred twenty-six billion, thirty-two million, seven hundred eighty-three thousand, three hundred forty-nine".