102184016 has 60 divisors (see below), whose sum is σ = 222444096. Its totient is φ = 45418560.

The previous prime is 102184001. The next prime is 102184021. The reversal of 102184016 is 610481201.

It is a junction number, because it is equal to n+sod(n) for n = 102183982 and 102184000.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90431 + ... + 91553.

Almost surely, 2^102184016 is an apocalyptic number.

102184016 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 102184016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111222048).

102184016 is an abundant number, since it is smaller than the sum of its proper divisors (120260080).

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

102184016 is a wasteful number, since it uses less digits than its factorization.

102184016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 102184016 is about 10108.6109827216. The cubic root of 102184016 is about 467.5136789538.

The spelling of 102184016 in words is "one hundred two million, one hundred eighty-four thousand, sixteen".