111905409137 has 2 divisors, whose sum is σ = 111905409138. Its totient is φ = 111905409136.

The previous prime is 111905409107. The next prime is 111905409139. The reversal of 111905409137 is 731904509111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91035561841 + 20869847296 = 301721^2 + 144464^2 .

It is a cyclic number.

It is not a de Polignac number, because 111905409137 - 2⁶ = 111905409073 is a prime.

Together with 111905409139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111905409094 and 111905409103.

It is not a weakly prime, because it can be changed into another prime (111905409139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55952704568 + 55952704569.

It is an arithmetic number, because the mean of its divisors is an integer number (55952704569).

Almost surely, 2^111905409137 is an apocalyptic number.

It is an amenable number.

111905409137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111905409137 is an equidigital number, since it uses as much as digits as its factorization.

111905409137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 41.

The spelling of 111905409137 in words is "one hundred eleven billion, nine hundred five million, four hundred nine thousand, one hundred thirty-seven".