10006761 has 16 divisors (see below), whose sum is σ = 14511744. Its totient is φ = 6107904.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006761 is 16760001.

It is not a de Polignac number, because 10006761 - 2² = 10006757 is a prime.

It is a super-2 number, since 2×10006761² = 200270531422242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (906984).

Almost surely, 2^10006761 is an apocalyptic number.

It is an amenable number.

10006761 is a deficient number, since it is larger than the sum of its proper divisors (4504983).

10006761 is a wasteful number, since it uses less digits than its factorization.

10006761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10006761 is about 3163.3464875034. The cubic root of 10006761 is about 215.4920118414.

Adding to 10006761 its reverse (16760001), we get a palindrome (26766762).

It can be divided in two parts, 100067 and 61, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 10006761 in words is "ten million, six thousand, seven hundred sixty-one".