105523163029 has 2 divisors, whose sum is σ = 105523163030. Its totient is φ = 105523163028.

The previous prime is 105523162993. The next prime is 105523163063. The reversal of 105523163029 is 920361325501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96612180625 + 8910982404 = 310825^2 + 94398^2 .

It is an emirp because it is prime and its reverse (920361325501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105523163029 - 2³³ = 96933228437 is a prime.

It is a super-2 number, since 2×105523163029² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105523164029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761581514 + 52761581515.

It is an arithmetic number, because the mean of its divisors is an integer number (52761581515).

Almost surely, 2^105523163029 is an apocalyptic number.

It is an amenable number.

105523163029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105523163029 is an equidigital number, since it uses as much as digits as its factorization.

105523163029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 37.

It can be divided in two parts, 1055231 and 63029, that added together give a triangular number (1118260 = T₁₄₉₅).

The spelling of 105523163029 in words is "one hundred five billion, five hundred twenty-three million, one hundred sixty-three thousand, twenty-nine".