102505440000 has 180 divisors, whose sum is σ = 340909917656. Its totient is φ = 27334656000.

The previous prime is 102505439999. The next prime is 102505440017. The reversal of 102505440000 is 44505201.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 373224 + ... + 586776.

Almost surely, 2^102505440000 is an apocalyptic number.

102505440000 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 102505440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170454958828).

102505440000 is an abundant number, since it is smaller than the sum of its proper divisors (238404477656).

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

102505440000 is an frugal number, since it uses more digits than its factorization.

102505440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213592 (or 213563 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 102505440000 its reverse (44505201), we get a palindrome (102549945201).

The spelling of 102505440000 in words is "one hundred two billion, five hundred five million, four hundred forty thousand".