102585216 has 64 divisors (see below), whose sum is σ = 273686400. Its totient is φ = 34045440.

The previous prime is 102585211. The next prime is 102585233. The reversal of 102585216 is 612585201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102585211) 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 7 ways as a sum of consecutive naturals, for example, 118995 + ... + 119853.

It is an arithmetic number, because the mean of its divisors is an integer number (4276350).

Almost surely, 2^102585216 is an apocalyptic number.

102585216 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 102585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136843200).

102585216 is an abundant number, since it is smaller than the sum of its proper divisors (171101184).

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

102585216 is an equidigital number, since it uses as much as digits as its factorization.

102585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 102585216 is about 10128.4360095723. The cubic root of 102585216 is about 468.1247384644.

The spelling of 102585216 in words is "one hundred two million, five hundred eighty-five thousand, two hundred sixteen".