100144413243 has 48 divisors (see below), whose sum is σ = 168517941696. Its totient is φ = 56118666240.

The previous prime is 100144413209. The next prime is 100144413251. The reversal of 100144413243 is 342314441001.

100144413243 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 4 + 413 + 243 = 666.

It is not a de Polignac number, because 100144413243 - 2⁶ = 100144413179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100144513243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8411671 + ... + 8423567.

It is an arithmetic number, because the mean of its divisors is an integer number (3510790452).

Almost surely, 2^100144413243 is an apocalyptic number.

100144413243 is a deficient number, since it is larger than the sum of its proper divisors (68373528453).

100144413243 is a wasteful number, since it uses less digits than its factorization.

100144413243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100144413243 its reverse (342314441001), we get a palindrome (442458854244).

The spelling of 100144413243 in words is "one hundred billion, one hundred forty-four million, four hundred thirteen thousand, two hundred forty-three".