106117129 has 4 divisors (see below), whose sum is σ = 106347780. Its totient is φ = 105886480.

The previous prime is 106117091. The next prime is 106117133. The reversal of 106117129 is 921711601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60419529 + 45697600 = 7773^2 + 6760^2 .

It is a cyclic number.

It is not a de Polignac number, because 106117129 - 2⁷ = 106117001 is a prime.

It is a super-2 number, since 2×106117129² = 22521690134405282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106117097 and 106117106.

It is not an unprimeable number, because it can be changed into a prime (106117139) 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 in 3 ways as a sum of consecutive naturals, for example, 114634 + ... + 115555.

It is an arithmetic number, because the mean of its divisors is an integer number (26586945).

Almost surely, 2^106117129 is an apocalyptic number.

It is an amenable number.

106117129 is a deficient number, since it is larger than the sum of its proper divisors (230651).

106117129 is an equidigital number, since it uses as much as digits as its factorization.

106117129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230650.

The product of its (nonzero) digits is 756, while the sum is 28.

The square root of 106117129 is about 10301.3168575673. The cubic root of 106117129 is about 473.4366017599.

The spelling of 106117129 in words is "one hundred six million, one hundred seventeen thousand, one hundred twenty-nine".