102853900800 has 1440 divisors, whose sum is σ = 455144976000. Its totient is φ = 22109552640.

The previous prime is 102853900789. The next prime is 102853900801. The reversal of 102853900800 is 8009358201.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102853900801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 750758332 + ... + 750758468.

It is an arithmetic number, because the mean of its divisors is an integer number (316072900).

Almost surely, 2^102853900800 is an apocalyptic number.

102853900800 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 102853900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227572488000).

102853900800 is an abundant number, since it is smaller than the sum of its proper divisors (352291075200).

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

102853900800 is a wasteful number, since it uses less digits than its factorization.

102853900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 102853900800 in words is "one hundred two billion, eight hundred fifty-three million, nine hundred thousand, eight hundred".