105181265050768 has 40 divisors (see below), whose sum is σ = 209341451599352. Its totient is φ = 51158275135488.

The previous prime is 105181265050739. The next prime is 105181265050859. The reversal of 105181265050768 is 867050562181501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40866511006864 + 64314754043904 = 6392692^2 + 8019648^2 .

It is a super-2 number, since 2×105181265050768² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16318755 + ... + 21832642.

Almost surely, 2^{105181265050768} is an apocalyptic number.

It is an amenable number.

105181265050768 is a deficient number, since it is larger than the sum of its proper divisors (104160186548584).

105181265050768 is a wasteful number, since it uses less digits than its factorization.

105181265050768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38156099 (or 38156093 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 55.

The spelling of 105181265050768 in words is "one hundred five trillion, one hundred eighty-one billion, two hundred sixty-five million, fifty thousand, seven hundred sixty-eight".