10400129 has 2 divisors, whose sum is σ = 10400130. Its totient is φ = 10400128.

The previous prime is 10400123. The next prime is 10400147. The reversal of 10400129 is 92100401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8862529 + 1537600 = 2977^2 + 1240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200064 + 5200065.

It is an arithmetic number, because the mean of its divisors is an integer number (5200065).

Almost surely, 2^10400129 is an apocalyptic number.

It is an amenable number.

10400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400129 is an equidigital number, since it uses as much as digits as its factorization.

10400129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10400129 is about 3224.9230998584. The cubic root of 10400129 is about 218.2794791065.

The spelling of 10400129 in words is "ten million, four hundred thousand, one hundred twenty-nine".