105350768181 has 32 divisors (see below), whose sum is σ = 158307494400. Its totient is φ = 69235871040.

The previous prime is 105350768143. The next prime is 105350768207. The reversal of 105350768181 is 181867053501.

105350768181 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 507 + 68 + 1 + 81 = 666.

It is not a de Polignac number, because 105350768181 - 2⁷ = 105350768053 is a prime.

It is a super-2 number, since 2×105350768181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350768881) 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 in 31 ways as a sum of consecutive naturals, for example, 488916 + ... + 670626.

It is an arithmetic number, because the mean of its divisors is an integer number (4947109200).

Almost surely, 2^105350768181 is an apocalyptic number.

It is an amenable number.

105350768181 is a deficient number, since it is larger than the sum of its proper divisors (52956726219).

105350768181 is a wasteful number, since it uses less digits than its factorization.

105350768181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182026 (or 182020 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105350768181 in words is "one hundred five billion, three hundred fifty million, seven hundred sixty-eight thousand, one hundred eighty-one".