100768147785 has 24 divisors (see below), whose sum is σ = 184939190280. Its totient is φ = 50581658112.

The previous prime is 100768147783. The next prime is 100768147801. The reversal of 100768147785 is 587741867001.

100768147785 is a `hidden beast` number, since 10 + 0 + 7 + 6 + 81 + 477 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27217080576 + 73551067209 = 164976^2 + 271203^2 .

It is not a de Polignac number, because 100768147785 - 2¹ = 100768147783 is a prime.

It is a super-3 number, since 3×100768147785³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100768147783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65860770 + ... + 65862299.

It is an arithmetic number, because the mean of its divisors is an integer number (7705799595).

Almost surely, 2^100768147785 is an apocalyptic number.

100768147785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100768147785 is a deficient number, since it is larger than the sum of its proper divisors (84171042495).

100768147785 is a wasteful number, since it uses less digits than its factorization.

100768147785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131723097 (or 131723094 counting only the distinct ones).

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

The spelling of 100768147785 in words is "one hundred billion, seven hundred sixty-eight million, one hundred forty-seven thousand, seven hundred eighty-five".