100313216 has 64 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 47840256.

The previous prime is 100313203. The next prime is 100313231. The reversal of 100313216 is 612313001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100313194 and 100313203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279245 + ... + 279603.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^100313216 is an apocalyptic number.

100313216 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 100313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

100313216 is an abundant number, since it is smaller than the sum of its proper divisors (108990784).

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

100313216 is an equidigital number, since it uses as much as digits as its factorization.

100313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 100313216 is about 10015.6485561345. The cubic root of 100313216 is about 464.6429849141.

Adding to 100313216 its reverse (612313001), we get a palindrome (712626217).

The spelling of 100313216 in words is "one hundred million, three hundred thirteen thousand, two hundred sixteen".