102055317000 has 768 divisors, whose sum is σ = 405982886400. Its totient is φ = 20784384000.

The previous prime is 102055316953. The next prime is 102055317017. The reversal of 102055317000 is 713550201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 262352806 + ... + 262353194.

It is an arithmetic number, because the mean of its divisors is an integer number (528623550).

Almost surely, 2^102055317000 is an apocalyptic number.

102055317000 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 102055317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202991443200).

102055317000 is an abundant number, since it is smaller than the sum of its proper divisors (303927569400).

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

102055317000 is a wasteful number, since it uses less digits than its factorization.

102055317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

Adding to 102055317000 its reverse (713550201), we get a palindrome (102768867201).

The spelling of 102055317000 in words is "one hundred two billion, fifty-five million, three hundred seventeen thousand".