102843200 has 168 divisors, whose sum is σ = 283464000. Its totient is φ = 36495360.

The previous prime is 102843127. The next prime is 102843233. The reversal of 102843200 is 2348201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516701 + ... + 516899.

Almost surely, 2^102843200 is an apocalyptic number.

102843200 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 102843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141732000).

102843200 is an abundant number, since it is smaller than the sum of its proper divisors (180620800).

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

102843200 is a wasteful number, since it uses less digits than its factorization.

102843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 102843200 is about 10141.1636413185. The cubic root of 102843200 is about 468.5168274385.

The spelling of 102843200 in words is "one hundred two million, eight hundred forty-three thousand, two hundred".