100133216 has 24 divisors (see below), whose sum is σ = 197560944. Its totient is φ = 49959040.

The previous prime is 100133203. The next prime is 100133219. The reversal of 100133216 is 612331001.

It is a junction number, because it is equal to n+sod(n) for n = 100133194 and 100133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12986 + ... + 19206.

It is an arithmetic number, because the mean of its divisors is an integer number (8231706).

Almost surely, 2^100133216 is an apocalyptic number.

100133216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100133216 is a deficient number, since it is larger than the sum of its proper divisors (97427728).

100133216 is an equidigital number, since it uses as much as digits as its factorization.

100133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 100133216 is about 10006.6585831635. The cubic root of 100133216 is about 464.3649032039.

Adding to 100133216 its reverse (612331001), we get a palindrome (712464217).

The spelling of 100133216 in words is "one hundred million, one hundred thirty-three thousand, two hundred sixteen".