102220800 has 264 divisors, whose sum is σ = 371604192. Its totient is φ = 24780800.

The previous prime is 102220777. The next prime is 102220819. The reversal of 102220800 is 8022201.

It is a tau number, because it is divible by the number of its divisors (264).

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 102220800.

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, 9292795 + ... + 9292805.

Almost surely, 2^102220800 is an apocalyptic number.

102220800 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 102220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185802096).

102220800 is an abundant number, since it is smaller than the sum of its proper divisors (269383392).

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

102220800 is an equidigital number, since it uses as much as digits as its factorization.

102220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

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

The square root of 102220800 is about 10110.4302579069. The cubic root of 102220800 is about 467.5697704403.

The spelling of 102220800 in words is "one hundred two million, two hundred twenty thousand, eight hundred".