105681708477 has 16 divisors (see below), whose sum is σ = 164805784000. Its totient is φ = 66746341872.

The previous prime is 105681708463. The next prime is 105681708487. The reversal of 105681708477 is 774807186501.

105681708477 is a `hidden beast` number, since 1 + 0 + 568 + 1 + 7 + 0 + 8 + 4 + 77 = 666.

It is not a de Polignac number, because 105681708477 - 2²⁶ = 105614599613 is a prime.

It is a super-3 number, since 3×105681708477³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105681708487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103003102 + ... + 103004127.

It is an arithmetic number, because the mean of its divisors is an integer number (10300361500).

Almost surely, 2^105681708477 is an apocalyptic number.

It is an amenable number.

105681708477 is a deficient number, since it is larger than the sum of its proper divisors (59124075523).

105681708477 is a wasteful number, since it uses less digits than its factorization.

105681708477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206007257 (or 206007251 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 105681708477 in words is "one hundred five billion, six hundred eighty-one million, seven hundred eight thousand, four hundred seventy-seven".