100681984105756 has 24 divisors (see below), whose sum is σ = 176753294597376. Its totient is φ = 50181049993920.

The previous prime is 100681984105753. The next prime is 100681984105763. The reversal of 100681984105756 is 657501489186001.

It is a junction number, because it is equal to n+sod(n) for n = 100681984105694 and 100681984105703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100681984105753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56495766 + ... + 58250626.

It is an arithmetic number, because the mean of its divisors is an integer number (7364720608224).

Almost surely, 2^{100681984105756} is an apocalyptic number.

It is an amenable number.

100681984105756 is a deficient number, since it is larger than the sum of its proper divisors (76071310491620).

100681984105756 is a wasteful number, since it uses less digits than its factorization.

100681984105756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800429 (or 1800427 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 61.

The spelling of 100681984105756 in words is "one hundred trillion, six hundred eighty-one billion, nine hundred eighty-four million, one hundred five thousand, seven hundred fifty-six".