100217312 has 96 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 42246144.

The previous prime is 100217311. The next prime is 100217317. The reversal of 100217312 is 213712001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100217311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261473 + ... + 261855.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^100217312 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 100217312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

100217312 is an abundant number, since it is smaller than the sum of its proper divisors (131445280).

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

100217312 is a wasteful number, since it uses less digits than its factorization.

100217312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 100217312 is about 10010.8597033422. The cubic root of 100217312 is about 464.4948644205.

Adding to 100217312 its reverse (213712001), we get a palindrome (313929313).

The spelling of 100217312 in words is "one hundred million, two hundred seventeen thousand, three hundred twelve".