10003500 has 240 divisors, whose sum is σ = 36996960. Its totient is φ = 2332800.

The previous prime is 10003489. The next prime is 10003501. The reversal of 10003500 is 530001.

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

It is not an unprimeable number, because it can be changed into a prime (10003501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 526491 + ... + 526509.

It is an arithmetic number, because the mean of its divisors is an integer number (154154).

Almost surely, 2^10003500 is an apocalyptic number.

10003500 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 10003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498480).

10003500 is an abundant number, since it is smaller than the sum of its proper divisors (26993460).

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

10003500 is a wasteful number, since it uses less digits than its factorization.

10003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10003500 is about 3162.8310103450. The cubic root of 10003500 is about 215.4686011427.

Adding to 10003500 its reverse (530001), we get a palindrome (10533501).

The spelling of 10003500 in words is "ten million, three thousand, five hundred".