102403200 has 96 divisors (see below), whose sum is σ = 337322160. Its totient is φ = 27304960.

The previous prime is 102403183. The next prime is 102403219. The reversal of 102403200 is 2304201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4267 + ... + 14933.

Almost surely, 2^102403200 is an apocalyptic number.

102403200 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 102403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168661080).

102403200 is an abundant number, since it is smaller than the sum of its proper divisors (234918960).

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

102403200 is a wasteful number, since it uses less digits than its factorization.

102403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102403200 is about 10119.4466251866. The cubic root of 102403200 is about 467.8477114262.

Adding to 102403200 its reverse (2304201), we get a palindrome (104707401).

It can be divided in two parts, 10240 and 3200, that multiplied together give a cube (32768000 = 320³).

The spelling of 102403200 in words is "one hundred two million, four hundred three thousand, two hundred".