100300200 has 384 divisors, whose sum is σ = 419973120. Its totient is φ = 19123200.

The previous prime is 100300199. The next prime is 100300219. The reversal of 100300200 is 2003001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600517 + ... + 600683.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^100300200 is an apocalyptic number.

100300200 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 100300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

100300200 is an abundant number, since it is smaller than the sum of its proper divisors (319672920).

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

100300200 is a wasteful number, since it uses less digits than its factorization.

100300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 100300200 is about 10014.9987518721. The cubic root of 100300200 is about 464.6228876795.

Adding to 100300200 its reverse (2003001), we get a palindrome (102303201).

The spelling of 100300200 in words is "one hundred million, three hundred thousand, two hundred".