100287216 has 120 divisors (see below), whose sum is σ = 301882464. Its totient is φ = 30965760.

The previous prime is 100287211. The next prime is 100287227. The reversal of 100287216 is 612782001.

It is a self number, because there is not a number n which added to its sum of digits gives 100287216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100287211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173520 + ... + 174096.

Almost surely, 2^100287216 is an apocalyptic number.

100287216 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 100287216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150941232).

100287216 is an abundant number, since it is smaller than the sum of its proper divisors (201595248).

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

100287216 is a wasteful number, since it uses less digits than its factorization.

100287216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100287216 is about 10014.3505031530. The cubic root of 100287216 is about 464.6028381219.

The spelling of 100287216 in words is "one hundred million, two hundred eighty-seven thousand, two hundred sixteen".