102305096400 has 360 divisors, whose sum is σ = 366335291136. Its totient is φ = 24368947200.

The previous prime is 102305096381. The next prime is 102305096417. The reversal of 102305096400 is 4690503201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6278664 + ... + 6294936.

Almost surely, 2^102305096400 is an apocalyptic number.

102305096400 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 102305096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183167645568).

102305096400 is an abundant number, since it is smaller than the sum of its proper divisors (264030194736).

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

102305096400 is a wasteful number, since it uses less digits than its factorization.

102305096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16351 (or 16327 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 102305096400 its reverse (4690503201), we get a palindrome (106995599601).

The spelling of 102305096400 in words is "one hundred two billion, three hundred five million, ninety-six thousand, four hundred".