102320315506000 has 160 divisors (see below), whose sum is σ = 248004995771520. Its totient is φ = 40829831424000.

The previous prime is 102320315505997. The next prime is 102320315506001. The reversal of 102320315506000 is 605513023201.

It is a self number, because there is not a number n which added to its sum of digits gives 102320315506000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320315506001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4259961991 + ... + 4259986009.

It is an arithmetic number, because the mean of its divisors is an integer number (1550031223572).

Almost surely, 2^{102320315506000} is an apocalyptic number.

102320315506000 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 102320315506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124002497885760).

102320315506000 is an abundant number, since it is smaller than the sum of its proper divisors (145684680265520).

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

102320315506000 is a wasteful number, since it uses less digits than its factorization.

102320315506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29070 (or 29054 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 102320315506000 its reverse (605513023201), we get a palindrome (102925828529201).

The spelling of 102320315506000 in words is "one hundred two trillion, three hundred twenty billion, three hundred fifteen million, five hundred six thousand".