107361116217 has 12 divisors (see below), whose sum is σ = 155208493284. Its totient is φ = 71513465760.

The previous prime is 107361116183. The next prime is 107361116231. The reversal of 107361116217 is 712611163701.

It is a happy number.

107361116217 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 611 + 16 + 21 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104756442921 + 2604673296 = 323661^2 + 51036^2 .

It is not a de Polignac number, because 107361116217 - 2¹² = 107361112121 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107361116287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5039758 + ... + 5061015.

It is an arithmetic number, because the mean of its divisors is an integer number (12934041107).

Almost surely, 2^107361116217 is an apocalyptic number.

It is an amenable number.

107361116217 is a deficient number, since it is larger than the sum of its proper divisors (47847377067).

107361116217 is a wasteful number, since it uses less digits than its factorization.

107361116217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101960 (or 10101957 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 107361116217 its reverse (712611163701), we get a palindrome (819972279918).

The spelling of 107361116217 in words is "one hundred seven billion, three hundred sixty-one million, one hundred sixteen thousand, two hundred seventeen".