10387500 has 72 divisors (see below), whose sum is σ = 30404304. Its totient is φ = 2760000.

The previous prime is 10387483. The next prime is 10387529. The reversal of 10387500 is 578301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37362 + ... + 37638.

It is an arithmetic number, because the mean of its divisors is an integer number (422282).

Almost surely, 2^10387500 is an apocalyptic number.

10387500 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 10387500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202152).

10387500 is an abundant number, since it is smaller than the sum of its proper divisors (20016804).

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

10387500 is an equidigital number, since it uses as much as digits as its factorization.

10387500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10387500 is about 3222.9644738967. The cubic root of 10387500 is about 218.1910901994.

The spelling of 10387500 in words is "ten million, three hundred eighty-seven thousand, five hundred".