102403022400 has 756 divisors, whose sum is σ = 448344945828. Its totient is φ = 22026977280.

The previous prime is 102403022399. The next prime is 102403022437. The reversal of 102403022400 is 4220304201.

102403022400 is a `hidden beast` number, since 1 + 0 + 240 + 3 + 0 + 22 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5073997824 + 97329024576 = 71232^2 + 311976^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 11990932 + ... + 11999468.

Almost surely, 2^102403022400 is an apocalyptic number.

102403022400 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 102403022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224172472914).

102403022400 is an abundant number, since it is smaller than the sum of its proper divisors (345941923428).

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

102403022400 is a wasteful number, since it uses less digits than its factorization.

102403022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102403022400 its reverse (4220304201), we get a palindrome (106623326601).

The spelling of 102403022400 in words is "one hundred two billion, four hundred three million, twenty-two thousand, four hundred".