100144656 has 60 divisors (see below), whose sum is σ = 289942380. Its totient is φ = 32229120.

The previous prime is 100144651. The next prime is 100144703. The reversal of 100144656 is 656441001.

100144656 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 4 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 84272400 = 3984^2 + 9180^2 .

It is not an unprimeable number, because it can be changed into a prime (100144651) 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 11 ways as a sum of consecutive naturals, for example, 7815 + ... + 16166.

It is an arithmetic number, because the mean of its divisors is an integer number (4832373).

Almost surely, 2^100144656 is an apocalyptic number.

100144656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100144656 is an abundant number, since it is smaller than the sum of its proper divisors (189797724).

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

100144656 is a wasteful number, since it uses less digits than its factorization.

100144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24024 (or 24015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100144656 is about 10007.2301862204. The cubic root of 100144656 is about 464.3825867539.

Adding to 100144656 its reverse (656441001), we get a palindrome (756585657).

The spelling of 100144656 in words is "one hundred million, one hundred forty-four thousand, six hundred fifty-six".