100016304 has 80 divisors (see below), whose sum is σ = 288017280. Its totient is φ = 29721600.

The previous prime is 100016299. The next prime is 100016339. The reversal of 100016304 is 403610001.

It is a super-2 number, since 2×100016304² = 20006522131640832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 18729.

It is an arithmetic number, because the mean of its divisors is an integer number (3600216).

Almost surely, 2^100016304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100016304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144008640).

100016304 is an abundant number, since it is smaller than the sum of its proper divisors (188000976).

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

100016304 is a wasteful number, since it uses less digits than its factorization.

100016304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100016304 is about 10000.8151667752. The cubic root of 100016304 is about 464.1841074786.

Adding to 100016304 its reverse (403610001), we get a palindrome (503626305).

The spelling of 100016304 in words is "one hundred million, sixteen thousand, three hundred four".