100045216 has 48 divisors (see below), whose sum is σ = 206938368. Its totient is φ = 47520000.

The previous prime is 100045213. The next prime is 100045223. The reversal of 100045216 is 612540001.

It is a junction number, because it is equal to n+sod(n) for n = 100045193 and 100045202.

It is not an unprimeable number, because it can be changed into a prime (100045213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132841 + ... + 133591.

It is an arithmetic number, because the mean of its divisors is an integer number (4311216).

Almost surely, 2^100045216 is an apocalyptic number.

100045216 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 100045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103469184).

100045216 is an abundant number, since it is smaller than the sum of its proper divisors (106893152).

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

100045216 is a wasteful number, since it uses less digits than its factorization.

100045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100045216 is about 10002.2605444969. The cubic root of 100045216 is about 464.2288308468.

Adding to 100045216 its reverse (612540001), we get a palindrome (712585217).

The spelling of 100045216 in words is "one hundred million, forty-five thousand, two hundred sixteen".