102195302400 has 819 divisors, whose sum is σ = 390492663771. Its totient is φ = 26515537920.

The previous prime is 102195302389. The next prime is 102195302449. The reversal of 102195302400 is 4203591201.

The square root of 102195302400 is 319680.

It is a perfect power (a square), and thus also a powerful number.

102195302400 is a `hidden beast` number, since 10 + 219 + 5 + 30 + 2 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9701462016 + 92493840384 = 98496^2 + 304128^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2762035182 + ... + 2762035218.

Almost surely, 2^102195302400 is an apocalyptic number.

102195302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102195302400 is the 319680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102195302400

102195302400 is an abundant number, since it is smaller than the sum of its proper divisors (288297361371).

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

102195302400 is an frugal number, since it uses more digits than its factorization.

102195302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102195302400 its reverse (4203591201), we get a palindrome (106398893601).

The spelling of 102195302400 in words is "one hundred two billion, one hundred ninety-five million, three hundred two thousand, four hundred".