102814338000 has 320 divisors, whose sum is σ = 374083557120. Its totient is φ = 24064768000.

The previous prime is 102814337987. The next prime is 102814338001. The reversal of 102814338000 is 833418201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102814338001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887142 + ... + 1940858.

It is an arithmetic number, because the mean of its divisors is an integer number (1169011116).

Almost surely, 2^102814338000 is an apocalyptic number.

102814338000 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 102814338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187041778560).

102814338000 is an abundant number, since it is smaller than the sum of its proper divisors (271269219120).

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

102814338000 is a wasteful number, since it uses less digits than its factorization.

102814338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53783 (or 53767 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 102814338000 in words is "one hundred two billion, eight hundred fourteen million, three hundred thirty-eight thousand".