102115216 has 80 divisors (see below), whose sum is σ = 241056000. Its totient is φ = 41809152.

The previous prime is 102115207. The next prime is 102115217. The reversal of 102115216 is 612511201.

It is a junction number, because it is equal to n+sod(n) for n = 102115193 and 102115202.

It is not an unprimeable number, because it can be changed into a prime (102115217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125820 + ... + 126628.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^102115216 is an apocalyptic number.

102115216 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 102115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

102115216 is an abundant number, since it is smaller than the sum of its proper divisors (138940784).

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

102115216 is an equidigital number, since it uses as much as digits as its factorization.

102115216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 102115216 is about 10105.2073704600. The cubic root of 102115216 is about 467.4087305027.

Adding to 102115216 its reverse (612511201), we get a palindrome (714626417).

The spelling of 102115216 in words is "one hundred two million, one hundred fifteen thousand, two hundred sixteen".