102065400000 has 672 divisors, whose sum is σ = 385023481920. Its totient is φ = 26496000000.

The previous prime is 102065399999. The next prime is 102065400007. The reversal of 102065400000 is 4560201.

It is a happy number.

102065400000 is a `hidden beast` number, since 10 + 2 + 0 + 654 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102065400007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221399770 + ... + 221400230.

It is an arithmetic number, because the mean of its divisors is an integer number (572951610).

Almost surely, 2^102065400000 is an apocalyptic number.

102065400000 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 102065400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192511740960).

102065400000 is an abundant number, since it is smaller than the sum of its proper divisors (282958081920).

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

102065400000 is an frugal number, since it uses more digits than its factorization.

102065400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102065400000 its reverse (4560201), we get a palindrome (102069960201).

The spelling of 102065400000 in words is "one hundred two billion, sixty-five million, four hundred thousand".