102403200000 has 264 divisors, whose sum is σ = 341187475104. Its totient is φ = 27304960000.

The previous prime is 102403199971. The next prime is 102403200001. The reversal of 102403200000 is 2304201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102403200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594667 + ... + 9605333.

Almost surely, 2^102403200000 is an apocalyptic number.

102403200000 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 102403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170593737552).

102403200000 is an abundant number, since it is smaller than the sum of its proper divisors (238784275104).

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

102403200000 is an frugal number, since it uses more digits than its factorization.

102403200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10715 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102403200000 its reverse (2304201), we get a palindrome (102405504201).

It can be divided in two parts, 10240 and 3200000, that multiplied together give a cube (32768000000 = 3200³).

The spelling of 102403200000 in words is "one hundred two billion, four hundred three million, two hundred thousand".