102100304400 has 60 divisors (see below), whose sum is σ = 327061312272. Its totient is φ = 27226747520.

The previous prime is 102100304381. The next prime is 102100304519. The reversal of 102100304400 is 4403001201.

It is a tau number, because it is divible by the number of its divisors (60).

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 102100304400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42540594 + ... + 42542993.

Almost surely, 2^102100304400 is an apocalyptic number.

102100304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100304400 is an abundant number, since it is smaller than the sum of its proper divisors (224961007872).

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

102100304400 is a wasteful number, since it uses less digits than its factorization.

102100304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85083608 (or 85083597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102100304400 its reverse (4403001201), we get a palindrome (106503305601).

The spelling of 102100304400 in words is "one hundred two billion, one hundred million, three hundred four thousand, four hundred".