10078129 has 2 divisors, whose sum is σ = 10078130. Its totient is φ = 10078128.

The previous prime is 10078063. The next prime is 10078141. The reversal of 10078129 is 92187001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 3045025 = 2652^2 + 1745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10078129 - 2¹¹ = 10076081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10078097 and 10078106.

It is not a weakly prime, because it can be changed into another prime (10078729) 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, 5039064 + 5039065.

It is an arithmetic number, because the mean of its divisors is an integer number (5039065).

Almost surely, 2^10078129 is an apocalyptic number.

It is an amenable number.

10078129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10078129 is an equidigital number, since it uses as much as digits as its factorization.

10078129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10078129 is about 3174.6069047994. The cubic root of 10078129 is about 216.0030935199.

The spelling of 10078129 in words is "ten million, seventy-eight thousand, one hundred twenty-nine".