102743222400 has 1152 divisors, whose sum is σ = 455783328000. Its totient is φ = 21459271680.

The previous prime is 102743222383. The next prime is 102743222429. The reversal of 102743222400 is 4222347201.

102743222400 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 432 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 516297501 + ... + 516297699.

It is an arithmetic number, because the mean of its divisors is an integer number (395645250).

Almost surely, 2^102743222400 is an apocalyptic number.

102743222400 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 102743222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227891664000).

102743222400 is an abundant number, since it is smaller than the sum of its proper divisors (353040105600).

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

102743222400 is a wasteful number, since it uses less digits than its factorization.

102743222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 102743222400 its reverse (4222347201), we get a palindrome (106965569601).

The spelling of 102743222400 in words is "one hundred two billion, seven hundred forty-three million, two hundred twenty-two thousand, four hundred".