10003120 has 40 divisors (see below), whose sum is σ = 24485040. Its totient is φ = 3790080.

The previous prime is 10003087. The next prime is 10003121. The reversal of 10003120 is 2130001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10003121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1771 + ... + 4810.

It is an arithmetic number, because the mean of its divisors is an integer number (612126).

Almost surely, 2^10003120 is an apocalyptic number.

10003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003120 is an abundant number, since it is smaller than the sum of its proper divisors (14481920).

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

10003120 is a wasteful number, since it uses less digits than its factorization.

10003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10003120 is about 3162.7709370108. The cubic root of 10003120 is about 215.4658727941.

Adding to 10003120 its reverse (2130001), we get a palindrome (12133121).

The spelling of 10003120 in words is "ten million, three thousand, one hundred twenty".