102883200 has 192 divisors, whose sum is σ = 387534720. Its totient is φ = 23500800.

The previous prime is 102883177. The next prime is 102883217. The reversal of 102883200 is 2388201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 66435 + ... + 67965.

It is an arithmetic number, because the mean of its divisors is an integer number (2018410).

Almost surely, 2^102883200 is an apocalyptic number.

102883200 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 102883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193767360).

102883200 is an abundant number, since it is smaller than the sum of its proper divisors (284651520).

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

102883200 is a wasteful number, since it uses less digits than its factorization.

102883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 102883200 is about 10143.1356098595. The cubic root of 102883200 is about 468.5775614619.

The spelling of 102883200 in words is "one hundred two million, eight hundred eighty-three thousand, two hundred".