102002400 has 216 divisors, whose sum is σ = 372101184. Its totient is φ = 26265600.

The previous prime is 102002399. The next prime is 102002419. The reversal of 102002400 is 4200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222972 + ... + 223428.

Almost surely, 2^102002400 is an apocalyptic number.

102002400 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 102002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186050592).

102002400 is an abundant number, since it is smaller than the sum of its proper divisors (270098784).

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

102002400 is a wasteful number, since it uses less digits than its factorization.

102002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102002400 is about 10099.6237553683. The cubic root of 102002400 is about 467.2365373783.

Adding to 102002400 its reverse (4200201), we get a palindrome (106202601).

The spelling of 102002400 in words is "one hundred two million, two thousand, four hundred".