105180181307 has 2 divisors, whose sum is σ = 105180181308. Its totient is φ = 105180181306.

The previous prime is 105180181289. The next prime is 105180181333. The reversal of 105180181307 is 703181081501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105180181307 - 2¹⁴ = 105180164923 is a prime.

It is a super-2 number, since 2×105180181307² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105180181367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52590090653 + 52590090654.

It is an arithmetic number, because the mean of its divisors is an integer number (52590090654).

Almost surely, 2^105180181307 is an apocalyptic number.

105180181307 is a deficient number, since it is larger than the sum of its proper divisors (1).

105180181307 is an equidigital number, since it uses as much as digits as its factorization.

105180181307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 35.

The spelling of 105180181307 in words is "one hundred five billion, one hundred eighty million, one hundred eighty-one thousand, three hundred seven".