105116778693 has 6 divisors (see below), whose sum is σ = 151835347014. Its totient is φ = 70077852456.

The previous prime is 105116778677. The next prime is 105116778733. The reversal of 105116778693 is 396877611501.

105116778693 is a `hidden beast` number, since 1 + 0 + 511 + 67 + 7 + 8 + 69 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89175696129 + 15941082564 = 298623^2 + 126258^2 .

It is not a de Polignac number, because 105116778693 - 2⁴ = 105116778677 is a prime.

It is a super-2 number, since 2×105116778693² (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 (105116778643) 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 5 ways as a sum of consecutive naturals, for example, 5839821030 + ... + 5839821047.

It is an arithmetic number, because the mean of its divisors is an integer number (25305891169).

Almost surely, 2^105116778693 is an apocalyptic number.

It is an amenable number.

105116778693 is a deficient number, since it is larger than the sum of its proper divisors (46718568321).

105116778693 is a wasteful number, since it uses less digits than its factorization.

105116778693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679642083 (or 11679642080 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 105116778693 in words is "one hundred five billion, one hundred sixteen million, seven hundred seventy-eight thousand, six hundred ninety-three".