10300 has 18 divisors (see below), whose sum is σ = 22568. Its totient is φ = 4080.

The previous prime is 10289. The next prime is 10301. The reversal of 10300 is 301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number *n* which added to its sum of digits gives 10300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

10300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49 + ... + 151.

10300 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 10300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284).

10300 is an abundant number, since it is smaller than the sum of its proper divisors (12268).

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

10300 is a wasteful number, since it uses less digits than its factorization.

10300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 10300 is about 101.4889156509. The cubic root of 10300 is about 21.7576711392.

Adding to 10300 its reverse (301), we get a palindrome (10601).

Subtracting from 10300 its reverse (301), we obtain a palindrome (9999).

The spelling of 10300 in words is "ten thousand, three hundred", and thus it is an iban number.

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