106036129 has 2 divisors, whose sum is σ = 106036130. Its totient is φ = 106036128.

The previous prime is 106036111. The next prime is 106036153. The reversal of 106036129 is 921630601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95648400 + 10387729 = 9780^2 + 3223^2 .

It is an emirp because it is prime and its reverse (921630601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106036129 - 2⁵ = 106036097 is a prime.

It is a super-2 number, since 2×106036129² = 22487321306609282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106036097 and 106036106.

It is not a weakly prime, because it can be changed into another prime (106036159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53018064 + 53018065.

It is an arithmetic number, because the mean of its divisors is an integer number (53018065).

Almost surely, 2^106036129 is an apocalyptic number.

It is an amenable number.

106036129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106036129 is an equidigital number, since it uses as much as digits as its factorization.

106036129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 106036129 is about 10297.3845708510. The cubic root of 106036129 is about 473.3161118621.

The spelling of 106036129 in words is "one hundred six million, thirty-six thousand, one hundred twenty-nine".