102104033200 has 240 divisors, whose sum is σ = 286229867616. Its totient is φ = 34655846400.

The previous prime is 102104033167. The next prime is 102104033249. The reversal of 102104033200 is 2330401201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3787770 + ... + 3814630.

Almost surely, 2^102104033200 is an apocalyptic number.

102104033200 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 102104033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143114933808).

102104033200 is an abundant number, since it is smaller than the sum of its proper divisors (184125834416).

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

102104033200 is a wasteful number, since it uses less digits than its factorization.

102104033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102104033200 its reverse (2330401201), we get a palindrome (104434434401).

The spelling of 102104033200 in words is "one hundred two billion, one hundred four million, thirty-three thousand, two hundred".