10906013306711 has 16 divisors (see below), whose sum is σ = 11248158265344. Its totient is φ = 10568492171904.

The previous prime is 10906013306693. The next prime is 10906013306717. The reversal of 10906013306711 is 11760331060901.

10906013306711 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 10906013306711 - 2¹⁴ = 10906013290327 is a prime.

It is a super-2 number, since 2×10906013306711² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10906013306717) 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, 27917711 + ... + 28305663.

It is an arithmetic number, because the mean of its divisors is an integer number (703009891584).

Almost surely, 2^{10906013306711} is an apocalyptic number.

10906013306711 is a deficient number, since it is larger than the sum of its proper divisors (342144958633).

10906013306711 is a wasteful number, since it uses less digits than its factorization.

10906013306711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393910.

The product of its (nonzero) digits is 20412, while the sum is 38.

The spelling of 10906013306711 in words is "ten trillion, nine hundred six billion, thirteen million, three hundred six thousand, seven hundred eleven".