10606742514 has 96 divisors (see below), whose sum is σ = 25468110720. Its totient is φ = 3175248384.

The previous prime is 10606742513. The next prime is 10606742563. The reversal of 10606742514 is 41524760601.

10606742514 is a `hidden beast` number, since 1 + 0 + 606 + 7 + 42 + 5 + 1 + 4 = 666.

10606742514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10606742514² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606742513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882892 + ... + 894824.

It is an arithmetic number, because the mean of its divisors is an integer number (265292820).

Almost surely, 2^10606742514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10606742514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734055360).

10606742514 is an abundant number, since it is smaller than the sum of its proper divisors (14861368206).

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

10606742514 is a wasteful number, since it uses less digits than its factorization.

10606742514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10606742514 in words is "ten billion, six hundred six million, seven hundred forty-two thousand, five hundred fourteen".