111755106641 has 2 divisors, whose sum is σ = 111755106642. Its totient is φ = 111755106640.

The previous prime is 111755106611. The next prime is 111755106653. The reversal of 111755106641 is 146601557111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103686576016 + 8068530625 = 322004^2 + 89825^2 .

It is a cyclic number.

It is not a de Polignac number, because 111755106641 - 2⁶ = 111755106577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111755106595 and 111755106604.

It is not a weakly prime, because it can be changed into another prime (111755106611) 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 as a sum of consecutive naturals, namely, 55877553320 + 55877553321.

It is an arithmetic number, because the mean of its divisors is an integer number (55877553321).

Almost surely, 2^111755106641 is an apocalyptic number.

It is an amenable number.

111755106641 is a deficient number, since it is larger than the sum of its proper divisors (1).

111755106641 is an equidigital number, since it uses as much as digits as its factorization.

111755106641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 38.

The spelling of 111755106641 in words is "one hundred eleven billion, seven hundred fifty-five million, one hundred six thousand, six hundred forty-one".