107635116385161 has 32 divisors (see below), whose sum is σ = 159924424848000. Its totient is φ = 71547662237184.

The previous prime is 107635116385129. The next prime is 107635116385177. The reversal of 107635116385161 is 161583611536701.

107635116385161 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 5 + 116 + 3 + 8 + 516 + 1 = 666.

It is not a de Polignac number, because 107635116385161 - 2⁵ = 107635116385129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107635116385098 and 107635116385107.

It is not an unprimeable number, because it can be changed into a prime (107635116380161) 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 31 ways as a sum of consecutive naturals, for example, 21221466 + ... + 25799628.

It is an arithmetic number, because the mean of its divisors is an integer number (4997638276500).

Almost surely, 2^{107635116385161} is an apocalyptic number.

It is an amenable number.

107635116385161 is a deficient number, since it is larger than the sum of its proper divisors (52289308462839).

107635116385161 is a wasteful number, since it uses less digits than its factorization.

107635116385161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580710 (or 4580704 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 107635116385161 in words is "one hundred seven trillion, six hundred thirty-five billion, one hundred sixteen million, three hundred eighty-five thousand, one hundred sixty-one".