100431400 has 48 divisors (see below), whose sum is σ = 234164700. Its totient is φ = 40058880.

The previous prime is 100431391. The next prime is 100431407. The reversal of 100431400 is 4134001.

It can be written as a sum of positive squares in 6 ways, for example, as 18818244 + 81613156 = 4338^2 + 9034^2 .

It is a super-3 number, since 3×100431400³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100431407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130216 + ... + 130984.

Almost surely, 2^100431400 is an apocalyptic number.

100431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431400 is an abundant number, since it is smaller than the sum of its proper divisors (133733300).

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

100431400 is a wasteful number, since it uses less digits than its factorization.

100431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100431400 is about 10021.5467867989. The cubic root of 100431400 is about 464.8253863211.

Adding to 100431400 its reverse (4134001), we get a palindrome (104565401).

The spelling of 100431400 in words is "one hundred million, four hundred thirty-one thousand, four hundred".