102133216 has 24 divisors (see below), whose sum is σ = 203911344. Its totient is φ = 50346240.

The previous prime is 102133211. The next prime is 102133217. The reversal of 102133216 is 612331201.

It is a junction number, because it is equal to n+sod(n) for n = 102133193 and 102133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133211) 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 3 ways as a sum of consecutive naturals, for example, 20205 + ... + 24748.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^102133216 is an apocalyptic number.

102133216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102133216 is a deficient number, since it is larger than the sum of its proper divisors (101778128).

102133216 is an equidigital number, since it uses as much as digits as its factorization.

102133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45034 (or 45026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102133216 is about 10106.0979611322. The cubic root of 102133216 is about 467.4361924983.

Adding to 102133216 its reverse (612331201), we get a palindrome (714464417).

The spelling of 102133216 in words is "one hundred two million, one hundred thirty-three thousand, two hundred sixteen".