10106066512 has 40 divisors (see below), whose sum is σ = 19721244456. Its totient is φ = 5016846336.

The previous prime is 10106066489. The next prime is 10106066519. The reversal of 10106066512 is 21566060101.

It can be written as a sum of positive squares in 4 ways, for example, as 5284708416 + 4821358096 = 72696^2 + 69436^2 .

It is a super-2 number, since 2×10106066512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106066519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1299628 + ... + 1307380.

Almost surely, 2^10106066512 is an apocalyptic number.

It is an amenable number.

10106066512 is a deficient number, since it is larger than the sum of its proper divisors (9615177944).

10106066512 is a wasteful number, since it uses less digits than its factorization.

10106066512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10106066512 in words is "ten billion, one hundred six million, sixty-six thousand, five hundred twelve".