10083800 has 48 divisors (see below), whose sum is σ = 23688960. Its totient is φ = 3991680.

The previous prime is 10083791. The next prime is 10083809. The reversal of 10083800 is 838001.

It is an interprime number because it is at equal distance from previous prime (10083791) and next prime (10083809).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25202 + ... + 25598.

It is an arithmetic number, because the mean of its divisors is an integer number (493520).

Almost surely, 2^10083800 is an apocalyptic number.

10083800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3175×3176.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844480).

10083800 is an abundant number, since it is smaller than the sum of its proper divisors (13605160).

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

10083800 is a wasteful number, since it uses less digits than its factorization.

10083800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10083800 is about 3175.4999606361. The cubic root of 10083800 is about 216.0436011662.

The spelling of 10083800 in words is "ten million, eighty-three thousand, eight hundred".