100305216 has 140 divisors (see below), whose sum is σ = 324551040. Its totient is φ = 30378240.

The previous prime is 100305173. The next prime is 100305239. The reversal of 100305216 is 612503001.

It is a super-2 number, since 2×100305216² = 20122272713613312, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 56145 + ... + 57903.

Almost surely, 2^100305216 is an apocalyptic number.

100305216 is a gapful number since it is divisible by the number (16) 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 100305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162275520).

100305216 is an abundant number, since it is smaller than the sum of its proper divisors (224245824).

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

100305216 is a wasteful number, since it uses less digits than its factorization.

100305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100305216 is about 10015.2491731359. The cubic root of 100305216 is about 464.6306327939.

Adding to 100305216 its reverse (612503001), we get a palindrome (712808217).

The spelling of 100305216 in words is "one hundred million, three hundred five thousand, two hundred sixteen".