102202800 has 240 divisors, whose sum is σ = 391165440. Its totient is φ = 22344960.

The previous prime is 102202799. The next prime is 102202813. The reversal of 102202800 is 8202201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102202800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4443589 + ... + 4443611.

It is an arithmetic number, because the mean of its divisors is an integer number (1629856).

Almost surely, 2^102202800 is an apocalyptic number.

102202800 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 102202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195582720).

102202800 is an abundant number, since it is smaller than the sum of its proper divisors (288962640).

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

102202800 is an equidigital number, since it uses as much as digits as its factorization.

102202800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102202800 is about 10109.5400488845. The cubic root of 102202800 is about 467.5423241348.

The spelling of 102202800 in words is "one hundred two million, two hundred two thousand, eight hundred".