105473263729 has 2 divisors, whose sum is σ = 105473263730. Its totient is φ = 105473263728.

The previous prime is 105473263711. The next prime is 105473263747. The reversal of 105473263729 is 927362374501.

It is a balanced prime because it is at equal distance from previous prime (105473263711) and next prime (105473263747).

It can be written as a sum of positive squares in only one way, i.e., 103846351504 + 1626912225 = 322252^2 + 40335^2 .

It is a cyclic number.

It is not a de Polignac number, because 105473263729 - 2²³ = 105464875121 is a prime.

It is a super-2 number, since 2×105473263729² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105473263529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52736631864 + 52736631865.

It is an arithmetic number, because the mean of its divisors is an integer number (52736631865).

Almost surely, 2^105473263729 is an apocalyptic number.

It is an amenable number.

105473263729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105473263729 is an equidigital number, since it uses as much as digits as its factorization.

105473263729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 105473263729 in words is "one hundred five billion, four hundred seventy-three million, two hundred sixty-three thousand, seven hundred twenty-nine".