111404129 has 2 divisors, whose sum is σ = 111404130. Its totient is φ = 111404128.

The previous prime is 111404113. The next prime is 111404159. The reversal of 111404129 is 921404111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100000000 + 11404129 = 10000^2 + 3377^2 .

It is a cyclic number.

It is not a de Polignac number, because 111404129 - 2⁴ = 111404113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111404159) 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, 55702064 + 55702065.

It is an arithmetic number, because the mean of its divisors is an integer number (55702065).

Almost surely, 2^111404129 is an apocalyptic number.

It is an amenable number.

111404129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111404129 is an equidigital number, since it uses as much as digits as its factorization.

111404129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 111404129 is about 10554.8154413045. The cubic root of 111404129 is about 481.1720907444.

The spelling of 111404129 in words is "one hundred eleven million, four hundred four thousand, one hundred twenty-nine".