100300 has 36 divisors (see below), whose sum is σ = 234360. Its totient is φ = 37120.

The previous prime is 100297. The next prime is 100313. The reversal of 100300 is 3001.

It is a happy number.

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

100300 is a modest number, since divided by 300 gives 100 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹⁰⁰³⁰⁰ is an apocalyptic number.

100300 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 100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

100300 is an abundant number, since it is smaller than the sum of its proper divisors (134060).

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

100300 is a wasteful number, since it uses less digits than its factorization.

100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

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

The square root of 100300 is about 316.7017524423. The cubic root of 100300 is about 46.4622578858.

Adding to 100300 its reverse (3001), we get a palindrome (103301).

It can be divided in two parts, 100 and 300, that added together give a square (400 = 20²).

The spelling of 100300 in words is "one hundred thousand, three hundred", and thus it is an iban number.