10005016 has 24 divisors (see below), whose sum is σ = 21823020. Its totient is φ = 4287696.

The previous prime is 10005013. The next prime is 10005019. The reversal of 10005016 is 61050001.

10005016 = T₂₉₃ + T₂₉₄ + ... + T₄₃₉.

It is an interprime number because it is at equal distance from previous prime (10005013) and next prime (10005019).

It is a junction number, because it is equal to n+sod(n) for n = 10004987 and 10005005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12370 + ... + 13153.

Almost surely, 2^10005016 is an apocalyptic number.

It is an amenable number.

10005016 is an abundant number, since it is smaller than the sum of its proper divisors (11818004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005016 is a wasteful number, since it uses less digits than its factorization.

10005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25543 (or 25532 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10005016 is about 3163.0706599758. The cubic root of 10005016 is about 215.4794851300.

Adding to 10005016 its reverse (61050001), we get a palindrome (71055017).

It can be divided in two parts, 1000501 and 6, that multiplied together give a palindrome (6003006).

The spelling of 10005016 in words is "ten million, five thousand, sixteen".