102005030400 has 480 divisors, whose sum is σ = 414743121408. Its totient is φ = 21521203200.

The previous prime is 102005030363. The next prime is 102005030401. The reversal of 102005030400 is 4030500201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102005030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005030401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3479805 + ... + 3508995.

Almost surely, 2^102005030400 is an apocalyptic number.

102005030400 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 102005030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207371560704).

102005030400 is an abundant number, since it is smaller than the sum of its proper divisors (312738091008).

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

102005030400 is a wasteful number, since it uses less digits than its factorization.

102005030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 102005030400 its reverse (4030500201), we get a palindrome (106035530601).

The spelling of 102005030400 in words is "one hundred two billion, five million, thirty thousand, four hundred".