102845236400 has 240 divisors, whose sum is σ = 259424333280. Its totient is φ = 39145267200.

The previous prime is 102845236387. The next prime is 102845236409. The reversal of 102845236400 is 4632548201.

It is not an unprimeable number, because it can be changed into a prime (102845236409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151912862 + ... + 151913538.

It is an arithmetic number, because the mean of its divisors is an integer number (1080934722).

Almost surely, 2^102845236400 is an apocalyptic number.

102845236400 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 102845236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129712166640).

102845236400 is an abundant number, since it is smaller than the sum of its proper divisors (156579096880).

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

102845236400 is a wasteful number, since it uses less digits than its factorization.

102845236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 102845236400 in words is "one hundred two billion, eight hundred forty-five million, two hundred thirty-six thousand, four hundred".