10606772516229 has 32 divisors (see below), whose sum is σ = 15739730585600. Its totient is φ = 7059490686000.

The previous prime is 10606772516183. The next prime is 10606772516233. The reversal of 10606772516229 is 92261527760601.

It is a happy number.

10606772516229 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 7 + 7 + 2 + 5 + 1 + 622 + 9 = 666.

It is not a de Polignac number, because 10606772516229 - 2¹¹ = 10606772514181 is a prime.

It is a super-2 number, since 2×10606772516229² (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 (10606772516269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64053462 + ... + 64218840.

It is an arithmetic number, because the mean of its divisors is an integer number (491866580800).

Almost surely, 2^{10606772516229} is an apocalyptic number.

It is an amenable number.

10606772516229 is a deficient number, since it is larger than the sum of its proper divisors (5132958069371).

10606772516229 is a wasteful number, since it uses less digits than its factorization.

10606772516229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169302 (or 169296 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10606772516229 in words is "ten trillion, six hundred six billion, seven hundred seventy-two million, five hundred sixteen thousand, two hundred twenty-nine".