102883448800 has 144 divisors (see below), whose sum is σ = 275436370944. Its totient is φ = 37215680000.

The previous prime is 102883448797. The next prime is 102883448807. The reversal of 102883448800 is 8844388201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102883448807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650195 + ... + 1711405.

It is an arithmetic number, because the mean of its divisors is an integer number (1912752576).

Almost surely, 2^102883448800 is an apocalyptic number.

102883448800 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 102883448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137718185472).

102883448800 is an abundant number, since it is smaller than the sum of its proper divisors (172552922144).

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

102883448800 is a wasteful number, since it uses less digits than its factorization.

102883448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61433 (or 61420 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 102883448800 in words is "one hundred two billion, eight hundred eighty-three million, four hundred forty-eight thousand, eight hundred".