4002006106 has 24 divisors (see below), whose sum is σ = 7005456180. Its totient is φ = 1709652672.

The previous prime is 4002006089. The next prime is 4002006109. The reversal of 4002006106 is 6016002004.

4002006106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3586213225 + 415792881 = 59885^2 + 20391^2 .

It is a super-2 number, since 2×4002006106² = 32032105744922566472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4002006109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34561 + ... + 95908.

Almost surely, 2^4002006106 is an apocalyptic number.

4002006106 is a deficient number, since it is larger than the sum of its proper divisors (3003450074).

4002006106 is a wasteful number, since it uses less digits than its factorization.

4002006106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130798 (or 130791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4002006106 is about 63261.4108758254. The cubic root of 4002006106 is about 1587.6663821810. Note that the first 3 decimals are identical.

The spelling of 4002006106 in words is "four billion, two million, six thousand, one hundred six".