111405137 has 2 divisors, whose sum is σ = 111405138. Its totient is φ = 111405136.

The previous prime is 111405101. The next prime is 111405149. The reversal of 111405137 is 731504111.

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., 61716736 + 49688401 = 7856^2 + 7049^2 .

It is a cyclic number.

It is not a de Polignac number, because 111405137 - 2¹⁰ = 111404113 is a prime.

It is a super-2 number, since 2×111405137² = 24822209099977538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111405167) 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 as a sum of consecutive naturals, namely, 55702568 + 55702569.

It is an arithmetic number, because the mean of its divisors is an integer number (55702569).

Almost surely, 2^111405137 is an apocalyptic number.

It is an amenable number.

111405137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111405137 is an equidigital number, since it uses as much as digits as its factorization.

111405137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 111405137 is about 10554.8631919130. The cubic root of 111405137 is about 481.1735419773.

Adding to 111405137 its reverse (731504111), we get a palindrome (842909248).

The spelling of 111405137 in words is "one hundred eleven million, four hundred five thousand, one hundred thirty-seven".