100131144 has 32 divisors (see below), whose sum is σ = 261213120. Its totient is φ = 31925696.

The previous prime is 100131127. The next prime is 100131149. The reversal of 100131144 is 441131001.

It is not an unprimeable number, because it can be changed into a prime (100131149) 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, 90147 + ... + 91250.

It is an arithmetic number, because the mean of its divisors is an integer number (8162910).

Almost surely, 2^100131144 is an apocalyptic number.

It is an amenable number.

100131144 is an abundant number, since it is smaller than the sum of its proper divisors (161081976).

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

100131144 is a wasteful number, since it uses less digits than its factorization.

100131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181429 (or 181425 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100131144 is about 10006.5550515649. Note that the first 3 decimals coincide. The cubic root of 100131144 is about 464.3617002350.

Adding to 100131144 its reverse (441131001), we get a palindrome (541262145).

The spelling of 100131144 in words is "one hundred million, one hundred thirty-one thousand, one hundred forty-four".