10006919 has 8 divisors (see below), whose sum is σ = 10938480. Its totient is φ = 9098496.

The previous prime is 10006883. The next prime is 10006933. The reversal of 10006919 is 91960001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006919 - 2⁸ = 10006663 is a prime.

It is a super-2 number, since 2×10006919² = 200276855745122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006519) 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 7 ways as a sum of consecutive naturals, for example, 4874 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (1367310).

Almost surely, 2^10006919 is an apocalyptic number.

10006919 is a deficient number, since it is larger than the sum of its proper divisors (931561).

10006919 is a wasteful number, since it uses less digits than its factorization.

10006919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569.

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 10006919 is about 3163.3714609574. The cubic root of 10006919 is about 215.4931459932.

The spelling of 10006919 in words is "ten million, six thousand, nine hundred nineteen".