102820800 has 168 divisors, whose sum is σ = 348723712. Its totient is φ = 26496000.

The previous prime is 102820793. The next prime is 102820841. The reversal of 102820800 is 8028201.

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 23 ways as a sum of consecutive naturals, for example, 148455 + ... + 149145.

Almost surely, 2^102820800 is an apocalyptic number.

102820800 is a gapful number since it is divisible by the number (10) 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 102820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174361856).

102820800 is an abundant number, since it is smaller than the sum of its proper divisors (245902912).

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

102820800 is a wasteful number, since it uses less digits than its factorization.

102820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 102820800 is about 10140.0591714250. The cubic root of 102820800 is about 468.4828095064.

The spelling of 102820800 in words is "one hundred two million, eight hundred twenty thousand, eight hundred".