100200320 has 128 divisors (see below), whose sum is σ = 268202880. Its totient is φ = 35481600.

The previous prime is 100200301. The next prime is 100200323. The reversal of 100200320 is 23002001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100200298 and 100200307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302555 + ... + 302885.

It is an arithmetic number, because the mean of its divisors is an integer number (2095335).

Almost surely, 2^100200320 is an apocalyptic number.

100200320 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 100200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134101440).

100200320 is an abundant number, since it is smaller than the sum of its proper divisors (168002560).

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

100200320 is a wasteful number, since it uses less digits than its factorization.

100200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100200320 is about 10010.0109890050. The cubic root of 100200320 is about 464.4686109962.

Adding to 100200320 its reverse (23002001), we get a palindrome (123202321).

The spelling of 100200320 in words is "one hundred million, two hundred thousand, three hundred twenty".