100384200 has 288 divisors, whose sum is σ = 399260160. Its totient is φ = 22118400.

The previous prime is 100384199. The next prime is 100384217. The reversal of 100384200 is 2483001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390472 + ... + 390728.

It is an arithmetic number, because the mean of its divisors is an integer number (1386320).

Almost surely, 2^100384200 is an apocalyptic number.

100384200 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 100384200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199630080).

100384200 is an abundant number, since it is smaller than the sum of its proper divisors (298875960).

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

100384200 is a wasteful number, since it uses less digits than its factorization.

100384200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100384200 is about 10019.1915841549. The cubic root of 100384200 is about 464.7525565217.

The spelling of 100384200 in words is "one hundred million, three hundred eighty-four thousand, two hundred".