102820368 has 80 divisors (see below), whose sum is σ = 306615296. Its totient is φ = 29082240.

The previous prime is 102820363. The next prime is 102820387. The reversal of 102820368 is 863028201.

It is not an unprimeable number, because it can be changed into a prime (102820363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33123 + ... + 36093.

Almost surely, 2^102820368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153307648).

102820368 is an abundant number, since it is smaller than the sum of its proper divisors (203794928).

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

102820368 is a wasteful number, since it uses less digits than its factorization.

102820368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 102820368 is about 10140.0378697518. The cubic root of 102820368 is about 468.4821533978.

Adding to 102820368 its reverse (863028201), we get a palindrome (965848569).

The spelling of 102820368 in words is "one hundred two million, eight hundred twenty thousand, three hundred sixty-eight".