10387800 has 144 divisors (see below), whose sum is σ = 36270000. Its totient is φ = 2661120.

The previous prime is 10387781. The next prime is 10387807. The reversal of 10387800 is 878301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52101 + ... + 52299.

It is an arithmetic number, because the mean of its divisors is an integer number (251875).

Almost surely, 2^10387800 is an apocalyptic number.

10387800 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 10387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135000).

10387800 is an abundant number, since it is smaller than the sum of its proper divisors (25882200).

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

10387800 is a wasteful number, since it uses less digits than its factorization.

10387800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10387800 is about 3223.0110145639. The cubic root of 10387800 is about 218.1931906951.

The spelling of 10387800 in words is "ten million, three hundred eighty-seven thousand, eight hundred".