10706129 has 16 divisors (see below), whose sum is σ = 12779520. Its totient is φ = 8776080.

The previous prime is 10706119. The next prime is 10706167. The reversal of 10706129 is 92160701.

10706129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10706129 - 2²⁰ = 9657553 is a prime.

It is a super-2 number, since 2×10706129² = 229242396329282, 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 = 10706098 and 10706107.

It is not an unprimeable number, because it can be changed into a prime (10706119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22112 + ... + 22590.

It is an arithmetic number, because the mean of its divisors is an integer number (798720).

Almost surely, 2^10706129 is an apocalyptic number.

It is an amenable number.

10706129 is a deficient number, since it is larger than the sum of its proper divisors (2073391).

10706129 is a wasteful number, since it uses less digits than its factorization.

10706129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 10706129 is about 3272.0221576267. The cubic root of 10706129 is about 220.3996111666.

The spelling of 10706129 in words is "ten million, seven hundred six thousand, one hundred twenty-nine".