10006120 has 16 divisors (see below), whose sum is σ = 22513860. Its totient is φ = 4002432.

The previous prime is 10006111. The next prime is 10006121. The reversal of 10006120 is 2160001.

It can be written as a sum of positive squares in 2 ways, for example, as 9872164 + 133956 = 3142^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10006097 and 10006106.

It is not an unprimeable number, because it can be changed into a prime (10006121) 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 3 ways as a sum of consecutive naturals, for example, 125037 + ... + 125116.

Almost surely, 2^10006120 is an apocalyptic number.

10006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006120 is an abundant number, since it is smaller than the sum of its proper divisors (12507740).

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

10006120 is a wasteful number, since it uses less digits than its factorization.

10006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250164 (or 250160 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10006120 is about 3163.2451691262. The cubic root of 10006120 is about 215.4874105080.

Adding to 10006120 its reverse (2160001), we get a palindrome (12166121).

The spelling of 10006120 in words is "ten million, six thousand, one hundred twenty".