102044434200 has 96 divisors (see below), whose sum is σ = 316399310160. Its totient is φ = 27206553600.

The previous prime is 102044434183. The next prime is 102044434201. The reversal of 102044434200 is 2434440201.

It is a happy number.

102044434200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102044434201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3803232 + ... + 3829968.

Almost surely, 2^102044434200 is an apocalyptic number.

102044434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102044434200 is an abundant number, since it is smaller than the sum of its proper divisors (214354875960).

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

102044434200 is a wasteful number, since it uses less digits than its factorization.

102044434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33117 (or 33108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102044434200 its reverse (2434440201), we get a palindrome (104478874401).

The spelling of 102044434200 in words is "one hundred two billion, forty-four million, four hundred thirty-four thousand, two hundred".