102302208 has 90 divisors (see below), whose sum is σ = 297245949. Its totient is φ = 33871872.

The previous prime is 102302173. The next prime is 102302219. The reversal of 102302208 is 802203201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 18249984 = 9168^2 + 4272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686518 + ... + 686666.

Almost surely, 2^102302208 is an apocalyptic number.

102302208 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 102302208

102302208 is an abundant number, since it is smaller than the sum of its proper divisors (194943741).

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

102302208 is an frugal number, since it uses more digits than its factorization.

102302208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102302208 is about 10114.4553980924. The cubic root of 102302208 is about 467.6938607094.

Multiplying 102302208 by its sum of digits (18), we get a square (1841439744 = 42912²).

102302208 divided by its sum of digits (18) gives a square (5683456 = 2384²).

Adding to 102302208 its reverse (802203201), we get a palindrome (904505409).

The spelling of 102302208 in words is "one hundred two million, three hundred two thousand, two hundred eight".