100200400 has 30 divisors (see below), whose sum is σ = 240732422. Its totient is φ = 40080000.

The previous prime is 100200391. The next prime is 100200407. The reversal of 100200400 is 4002001.

It can be written as a sum of positive squares in 3 ways, for example, as 22619536 + 77580864 = 4756^2 + 8808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124851 + ... + 125650.

Almost surely, 2^100200400 is an apocalyptic number.

100200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200400 is an abundant number, since it is smaller than the sum of its proper divisors (140532022).

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

100200400 is a wasteful number, since it uses less digits than its factorization.

100200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250519 (or 250508 counting only the distinct ones).

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

The square root of 100200400 is about 10010.0149850038. The cubic root of 100200400 is about 464.4687346068.

Adding to 100200400 its reverse (4002001), we get a palindrome (104202401).

The spelling of 100200400 in words is "one hundred million, two hundred thousand, four hundred".