10006101 has 24 divisors (see below), whose sum is σ = 16758144. Its totient is φ = 5634720.

The previous prime is 10006097. The next prime is 10006109. The reversal of 10006101 is 10160001.

10006101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10006101 is a nontrivial binomial coefficient, being equal to C(4474, 2).

It is not a de Polignac number, because 10006101 - 2² = 10006097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3355 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (698256).

Almost surely, 2^10006101 is an apocalyptic number.

10006101 is the 4473-rd triangular number and also the 2237-th hexagonal number.

It is an amenable number.

10006101 is a deficient number, since it is larger than the sum of its proper divisors (6752043).

10006101 is a wasteful number, since it uses less digits than its factorization.

10006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10006101 is about 3163.2421658798. The cubic root of 10006101 is about 215.4872741160.

Adding to 10006101 its reverse (10160001), we get a palindrome (20166102).

The spelling of 10006101 in words is "ten million, six thousand, one hundred one".