102143334400 has 144 divisors (see below), whose sum is σ = 256469522400. Its totient is φ = 40338554880.

The previous prime is 102143334367. The next prime is 102143334427. The reversal of 102143334400 is 4433341201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4032174 + ... + 4057426.

It is an arithmetic number, because the mean of its divisors is an integer number (1781038350).

Almost surely, 2^102143334400 is an apocalyptic number.

102143334400 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 102143334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128234761200).

102143334400 is an abundant number, since it is smaller than the sum of its proper divisors (154326188000).

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

102143334400 is an equidigital number, since it uses as much as digits as its factorization.

102143334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25364 (or 25339 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 102143334400 its reverse (4433341201), we get a palindrome (106576675601).

The spelling of 102143334400 in words is "one hundred two billion, one hundred forty-three million, three hundred thirty-four thousand, four hundred".