100431140 has 24 divisors (see below), whose sum is σ = 216051192. Its totient is φ = 39192320.

The previous prime is 100431139. The next prime is 100431143. The reversal of 100431140 is 41134001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12334144 + 88096996 = 3512^2 + 9386^2 .

It is not an unprimeable number, because it can be changed into a prime (100431143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60419 + ... + 62058.

It is an arithmetic number, because the mean of its divisors is an integer number (9002133).

Almost surely, 2^100431140 is an apocalyptic number.

100431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431140 is an abundant number, since it is smaller than the sum of its proper divisors (115620052).

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

100431140 is a wasteful number, since it uses less digits than its factorization.

100431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122527 (or 122525 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100431140 is about 10021.5338147411. The cubic root of 100431140 is about 464.8249852025.

Adding to 100431140 its reverse (41134001), we get a palindrome (141565141).

The spelling of 100431140 in words is "one hundred million, four hundred thirty-one thousand, one hundred forty".