102086208 has 126 divisors (see below), whose sum is σ = 340479126. Its totient is φ = 29159424.

The previous prime is 102086197. The next prime is 102086227. The reversal of 102086208 is 802680201.

102086208 is a `hidden beast` number, since 10 + 20 + 8 + 620 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 47444544 = 7392^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 17 ways as a sum of consecutive naturals, for example, 26416 + ... + 30032.

Almost surely, 2^102086208 is an apocalyptic number.

102086208 is a gapful number since it is divisible by the number (18) 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 102086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170239563).

102086208 is an abundant number, since it is smaller than the sum of its proper divisors (238392918).

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

102086208 is a wasteful number, since it uses less digits than its factorization.

102086208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102086208 is about 10103.7719689233. The cubic root of 102086208 is about 467.3644671791.

The spelling of 102086208 in words is "one hundred two million, eighty-six thousand, two hundred eight".