102003244400 has 120 divisors (see below), whose sum is σ = 247098470400. Its totient is φ = 40463737600.

The previous prime is 102003244393. The next prime is 102003244439. The reversal of 102003244400 is 4442300201.

It is a super-2 number, since 2×102003244400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27425741 + ... + 27429459.

It is an arithmetic number, because the mean of its divisors is an integer number (2059153920).

Almost surely, 2^102003244400 is an apocalyptic number.

102003244400 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 102003244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123549235200).

102003244400 is an abundant number, since it is smaller than the sum of its proper divisors (145095226000).

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

102003244400 is a wasteful number, since it uses less digits than its factorization.

102003244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102003244400 its reverse (4442300201), we get a palindrome (106445544601).

The spelling of 102003244400 in words is "one hundred two billion, three million, two hundred forty-four thousand, four hundred".