100432400 has 30 divisors (see below), whose sum is σ = 241289802. Its totient is φ = 40172800.

The previous prime is 100432357. The next prime is 100432417. The reversal of 100432400 is 4234001.

It can be written as a sum of positive squares in 3 ways, for example, as 18421264 + 82011136 = 4292^2 + 9056^2 .

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, 125141 + ... + 125940.

Almost surely, 2^100432400 is an apocalyptic number.

100432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432400 is an abundant number, since it is smaller than the sum of its proper divisors (140857402).

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

100432400 is a wasteful number, since it uses less digits than its factorization.

100432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251099 (or 251088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100432400 is about 10021.5966791724. The cubic root of 100432400 is about 464.8269290785.

Adding to 100432400 its reverse (4234001), we get a palindrome (104666401).

The spelling of 100432400 in words is "one hundred million, four hundred thirty-two thousand, four hundred".