10009500 has 48 divisors (see below), whose sum is σ = 29152032. Its totient is φ = 2668800.

The previous prime is 10009487. The next prime is 10009507. The reversal of 10009500 is 590001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10009500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (607334).

Almost surely, 2^10009500 is an apocalyptic number.

10009500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009500 is an abundant number, since it is smaller than the sum of its proper divisors (19142532).

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

10009500 is a wasteful number, since it uses less digits than its factorization.

10009500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10009500 is about 3163.7793854819. The cubic root of 10009500 is about 215.5116711756.

Adding to 10009500 its reverse (590001), we get a palindrome (10599501).

The spelling of 10009500 in words is "ten million, nine thousand, five hundred".