102286800 has 600 divisors, whose sum is σ = 468844992. Its totient is φ = 20736000.

The previous prime is 102286787. The next prime is 102286817. The reversal of 102286800 is 8682201.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 2494780 + ... + 2494820.

Almost surely, 2^102286800 is an apocalyptic number.

102286800 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 102286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422496).

102286800 is an abundant number, since it is smaller than the sum of its proper divisors (366558192).

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

102286800 is a wasteful number, since it uses less digits than its factorization.

102286800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

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

The square root of 102286800 is about 10113.6936872737. The cubic root of 102286800 is about 467.6703793367.

The spelling of 102286800 in words is "one hundred two million, two hundred eighty-six thousand, eight hundred".