105337611017 has 2 divisors, whose sum is σ = 105337611018. Its totient is φ = 105337611016.

The previous prime is 105337610897. The next prime is 105337611073. The reversal of 105337611017 is 710116733501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93776200441 + 11561410576 = 306229^2 + 107524^2 .

It is a cyclic number.

It is not a de Polignac number, because 105337611017 - 2²⁶ = 105270502153 is a prime.

It is a super-2 number, since 2×105337611017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105337611317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668805508 + 52668805509.

It is an arithmetic number, because the mean of its divisors is an integer number (52668805509).

Almost surely, 2^105337611017 is an apocalyptic number.

It is an amenable number.

105337611017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105337611017 is an equidigital number, since it uses as much as digits as its factorization.

105337611017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 35.

The spelling of 105337611017 in words is "one hundred five billion, three hundred thirty-seven million, six hundred eleven thousand, seventeen".