105500634697 has 2 divisors, whose sum is σ = 105500634698. Its totient is φ = 105500634696.

The previous prime is 105500634667. The next prime is 105500634761. The reversal of 105500634697 is 796436005501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67358935296 + 38141699401 = 259536^2 + 195299^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500634697 - 2³⁵ = 71140896329 is a prime.

It is a super-2 number, since 2×105500634697² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105500634647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750317348 + 52750317349.

It is an arithmetic number, because the mean of its divisors is an integer number (52750317349).

Almost surely, 2^105500634697 is an apocalyptic number.

It is an amenable number.

105500634697 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500634697 is an equidigital number, since it uses as much as digits as its factorization.

105500634697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 105500634697 in words is "one hundred five billion, five hundred million, six hundred thirty-four thousand, six hundred ninety-seven".