102448800 has 432 divisors, whose sum is σ = 409473792. Its totient is φ = 24883200.

The previous prime is 102448789. The next prime is 102448807. The reversal of 102448800 is 8844201.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (102448807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304785 + ... + 3304815.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^102448800 is an apocalyptic number.

102448800 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 102448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

102448800 is an abundant number, since it is smaller than the sum of its proper divisors (307024992).

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

102448800 is a wasteful number, since it uses less digits than its factorization.

102448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102448800 is about 10121.6994620469. The cubic root of 102448800 is about 467.9171450955.

It can be divided in two parts, 10244 and 8800, that added together give a square (19044 = 138²).

The spelling of 102448800 in words is "one hundred two million, four hundred forty-eight thousand, eight hundred".