10266725106 has 32 divisors (see below), whose sum is σ = 24889032000. Its totient is φ = 3111128640.

The previous prime is 10266725083. The next prime is 10266725123. The reversal of 10266725106 is 60152766201.

It is a happy number.

10266725106 is a `hidden beast` number, since 10 + 2 + 66 + 72 + 510 + 6 = 666.

It is a super-4 number, since 4×10266725106⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8641431 + ... + 8642618.

It is an arithmetic number, because the mean of its divisors is an integer number (777782250).

Almost surely, 2^10266725106 is an apocalyptic number.

10266725106 is an abundant number, since it is smaller than the sum of its proper divisors (14622306894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10266725106 is a wasteful number, since it uses less digits than its factorization.

10266725106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284071 (or 17284065 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10266725106 in words is "ten billion, two hundred sixty-six million, seven hundred twenty-five thousand, one hundred six".