100217936 has 60 divisors (see below), whose sum is σ = 243273492. Its totient is φ = 39642624.

The previous prime is 100217927. The next prime is 100217987. The reversal of 100217936 is 639712001.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 68227600 = 5656^2 + 8260^2 .

It is a super-2 number, since 2×100217936² = 20087269392200192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100217899 and 100217908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5276 + ... + 15108.

Almost surely, 2^100217936 is an apocalyptic number.

100217936 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 100217936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121636746).

100217936 is an abundant number, since it is smaller than the sum of its proper divisors (143055556).

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

100217936 is a wasteful number, since it uses less digits than its factorization.

100217936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 100217936 is about 10010.8908694481. The cubic root of 100217936 is about 464.4958284728.

Adding to 100217936 its reverse (639712001), we get a palindrome (739929937).

The spelling of 100217936 in words is "one hundred million, two hundred seventeen thousand, nine hundred thirty-six".