100667761161 has 64 divisors (see below), whose sum is σ = 161695180800. Its totient is φ = 55019865600.

The previous prime is 100667761157. The next prime is 100667761279. The reversal of 100667761161 is 161167766001.

It is not a de Polignac number, because 100667761161 - 2² = 100667761157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100667761111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252005 + ... + 1329981.

It is an arithmetic number, because the mean of its divisors is an integer number (2526487200).

Almost surely, 2^100667761161 is an apocalyptic number.

100667761161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100667761161 is a deficient number, since it is larger than the sum of its proper divisors (61027419639).

100667761161 is a wasteful number, since it uses less digits than its factorization.

100667761161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78110.

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 100667761161 in words is "one hundred billion, six hundred sixty-seven million, seven hundred sixty-one thousand, one hundred sixty-one".