102065216 has 56 divisors (see below), whose sum is σ = 223077024. Its totient is φ = 45946880.

The previous prime is 102065209. The next prime is 102065233. The reversal of 102065216 is 612560201.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102065191 and 102065200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78911 + ... + 80193.

Almost surely, 2^102065216 is an apocalyptic number.

102065216 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 102065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111538512).

102065216 is an abundant number, since it is smaller than the sum of its proper divisors (121011808).

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

102065216 is a wasteful number, since it uses less digits than its factorization.

102065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 102065216 is about 10102.7330955539. The cubic root of 102065216 is about 467.3324302447.

The spelling of 102065216 in words is "one hundred two million, sixty-five thousand, two hundred sixteen".