100633316 has 48 divisors (see below), whose sum is σ = 209190912. Its totient is φ = 41450400.

The previous prime is 100633307. The next prime is 100633321. The reversal of 100633316 is 613336001.

It is a junction number, because it is equal to n+sod(n) for n = 100633291 and 100633300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165485 + ... + 166091.

It is an arithmetic number, because the mean of its divisors is an integer number (4358144).

Almost surely, 2^100633316 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 100633316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104595456).

100633316 is an abundant number, since it is smaller than the sum of its proper divisors (108557596).

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

100633316 is a wasteful number, since it uses less digits than its factorization.

100633316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 100633316 is about 10031.6158219900. The cubic root of 100633316 is about 465.1366862211.

Adding to 100633316 its reverse (613336001), we get a palindrome (713969317).

The spelling of 100633316 in words is "one hundred million, six hundred thirty-three thousand, three hundred sixteen".