10003140 has 144 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 2147328.

The previous prime is 10003127. The next prime is 10003159. The reversal of 10003140 is 4130001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21187 + ... + 21653.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 2^10003140 is an apocalyptic number.

10003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

10003140 is an abundant number, since it is smaller than the sum of its proper divisors (26792892).

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

10003140 is a wasteful number, since it uses less digits than its factorization.

10003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

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

The square root of 10003140 is about 3162.7740987937. The cubic root of 10003140 is about 215.4660163931.

Adding to 10003140 its reverse (4130001), we get a palindrome (14133141).

The spelling of 10003140 in words is "ten million, three thousand, one hundred forty".