100010144 has 36 divisors (see below), whose sum is σ = 213217326. Its totient is φ = 46156032.

The previous prime is 100010143. The next prime is 100010161. The reversal of 100010144 is 441010001.

It can be written as a sum of positive squares in 3 ways, for example, as 45427600 + 54582544 = 6740^2 + 7388^2 .

It is not an unprimeable number, because it can be changed into a prime (100010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3839 + ... + 14654.

Almost surely, 2^100010144 is an apocalyptic number.

It is an amenable number.

100010144 is an abundant number, since it is smaller than the sum of its proper divisors (113207182).

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

100010144 is a wasteful number, since it uses less digits than its factorization.

100010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18529 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100010144 is about 10000.5071871381. The cubic root of 100010144 is about 464.1745775897.

Adding to 100010144 its reverse (441010001), we get a palindrome (541020145).

The spelling of 100010144 in words is "one hundred million, ten thousand, one hundred forty-four".