100017216 has 252 divisors, whose sum is σ = 334644492. Its totient is φ = 28366848.

The previous prime is 100017193. The next prime is 100017217. The reversal of 100017216 is 612710001.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 46785600 = 7296^2 + 6840^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100017217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2703150 + ... + 2703186.

Almost surely, 2^100017216 is an apocalyptic number.

100017216 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 100017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167322246).

100017216 is an abundant number, since it is smaller than the sum of its proper divisors (234627276).

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

100017216 is a wasteful number, since it uses less digits than its factorization.

100017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100017216 is about 10000.8607629544. The cubic root of 100017216 is about 464.1855183640.

Adding to 100017216 its reverse (612710001), we get a palindrome (712727217).

The spelling of 100017216 in words is "one hundred million, seventeen thousand, two hundred sixteen".