102850120800 has 432 divisors, whose sum is σ = 415286857440. Its totient is φ = 23463198720.

The previous prime is 102850120787. The next prime is 102850120831. The reversal of 102850120800 is 8021058201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30893536 + ... + 30896864.

It is an arithmetic number, because the mean of its divisors is an integer number (961312170).

Almost surely, 2^102850120800 is an apocalyptic number.

102850120800 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 102850120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207643428720).

102850120800 is an abundant number, since it is smaller than the sum of its proper divisors (312436736640).

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

102850120800 is a wasteful number, since it uses less digits than its factorization.

102850120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 102850120800 in words is "one hundred two billion, eight hundred fifty million, one hundred twenty thousand, eight hundred".