102104421300 has 324 divisors, whose sum is σ = 376145990220. Its totient is φ = 23096586240.

The previous prime is 102104421269. The next prime is 102104421313. The reversal of 102104421300 is 3124401201.

102104421300 is a `hidden beast` number, since 1 + 0 + 210 + 4 + 421 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28005264 + 102076416036 = 5292^2 + 319494^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4265766 + ... + 4289634.

Almost surely, 2^102104421300 is an apocalyptic number.

102104421300 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 102104421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188072995110).

102104421300 is an abundant number, since it is smaller than the sum of its proper divisors (274041568920).

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

102104421300 is a wasteful number, since it uses less digits than its factorization.

102104421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24000 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102104421300 its reverse (3124401201), we get a palindrome (105228822501).

The spelling of 102104421300 in words is "one hundred two billion, one hundred four million, four hundred twenty-one thousand, three hundred".