100681083767 has 16 divisors (see below), whose sum is σ = 110294376192. Its totient is φ = 91144811520.

The previous prime is 100681083751. The next prime is 100681083787. The reversal of 100681083767 is 767380186001.

It is a cyclic number.

It is not a de Polignac number, because 100681083767 - 2⁴ = 100681083751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100681083787) 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 15 ways as a sum of consecutive naturals, for example, 9996068 + ... + 10006134.

It is an arithmetic number, because the mean of its divisors is an integer number (6893398512).

Almost surely, 2^100681083767 is an apocalyptic number.

100681083767 is a deficient number, since it is larger than the sum of its proper divisors (9613292425).

100681083767 is a wasteful number, since it uses less digits than its factorization.

100681083767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 100681083767 in words is "one hundred billion, six hundred eighty-one million, eighty-three thousand, seven hundred sixty-seven".