100216512 has 84 divisors (see below), whose sum is σ = 313386216. Its totient is φ = 30366720.

The previous prime is 100216511. The next prime is 100216561. The reversal of 100216512 is 215612001.

100216512 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×100216512² = 20086698554892288, which contains 22 as substring.

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 (100216511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1573 + ... + 14244.

Almost surely, 2^100216512 is an apocalyptic number.

100216512 is a gapful number since it is divisible by the number (12) 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 100216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156693108).

100216512 is an abundant number, since it is smaller than the sum of its proper divisors (213169704).

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

100216512 is a wasteful number, since it uses less digits than its factorization.

100216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100216512 is about 10010.8197466541. The cubic root of 100216512 is about 464.4936284501.

Adding to 100216512 its reverse (215612001), we get a palindrome (315828513).

It can be divided in two parts, 100 and 216512, that added together give a palindrome (216612).

The spelling of 100216512 in words is "one hundred million, two hundred sixteen thousand, five hundred twelve".