100002400 has 36 divisors (see below), whose sum is σ = 244132812. Its totient is φ = 40000640.

The previous prime is 100002389. The next prime is 100002421. The reversal of 100002400 is 4200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61702 + ... + 63301.

It is an arithmetic number, because the mean of its divisors is an integer number (6781467).

Almost surely, 2^100002400 is an apocalyptic number.

100002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002400 is an abundant number, since it is smaller than the sum of its proper divisors (144130412).

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

100002400 is a wasteful number, since it uses less digits than its factorization.

100002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125023 (or 125010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 100002400 is about 10000.1199992800. The cubic root of 100002400 is about 464.1625966026.

Adding to 100002400 its reverse (4200001), we get a palindrome (104202401).

The spelling of 100002400 in words is "one hundred million, two thousand, four hundred".