100431135234 has 24 divisors (see below), whose sum is σ = 217607015340. Its totient is φ = 33476087808.

The previous prime is 100431135221. The next prime is 100431135241. The reversal of 100431135234 is 432531134001.

It is a happy number.

100431135234 is a `hidden beast` number, since 100 + 4 + 31 + 1 + 3 + 523 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98141225625 + 2289909609 = 313275^2 + 47853^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100431135198 and 100431135207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877954 + ... + 985730.

Almost surely, 2^100431135234 is an apocalyptic number.

100431135234 is an abundant number, since it is smaller than the sum of its proper divisors (117175880106).

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

100431135234 is a wasteful number, since it uses less digits than its factorization.

100431135234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159554 (or 159551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 100431135234 its reverse (432531134001), we get a palindrome (532962269235).

The spelling of 100431135234 in words is "one hundred billion, four hundred thirty-one million, one hundred thirty-five thousand, two hundred thirty-four".