102323114544000 has 1024 divisors, whose sum is σ = 394976004433920. Its totient is φ = 22950789120000.

The previous prime is 102323114543971. The next prime is 102323114544023. The reversal of 102323114544000 is 445411323201.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3834754659 + ... + 3834781341.

It is an arithmetic number, because the mean of its divisors is an integer number (385718754330).

Almost surely, 2^{102323114544000} is an apocalyptic number.

102323114544000 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 102323114544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197488002216960).

102323114544000 is an abundant number, since it is smaller than the sum of its proper divisors (292652889889920).

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

102323114544000 is a wasteful number, since it uses less digits than its factorization.

102323114544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26936 (or 26914 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 102323114544000 its reverse (445411323201), we get a palindrome (102768525867201).

The spelling of 102323114544000 in words is "one hundred two trillion, three hundred twenty-three billion, one hundred fourteen million, five hundred forty-four thousand".