10006020 has 36 divisors (see below), whose sum is σ = 30352140. Its totient is φ = 2668224.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006020 is 2060001.

It is an interprime number because it is at equal distance from previous prime (10006001) and next prime (10006039).

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 8678916 = 1152^2 + 2946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10005993 and 10006011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27615 + ... + 27974.

It is an arithmetic number, because the mean of its divisors is an integer number (843115).

Almost surely, 2^10006020 is an apocalyptic number.

10006020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006020 is an abundant number, since it is smaller than the sum of its proper divisors (20346120).

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

10006020 is a wasteful number, since it uses less digits than its factorization.

10006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55604 (or 55599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10006020 is about 3163.2293625344. The cubic root of 10006020 is about 215.4866926536.

Adding to 10006020 its reverse (2060001), we get a palindrome (12066021).

The spelling of 10006020 in words is "ten million, six thousand, twenty".