100144263 has 32 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 59939840.

The previous prime is 100144243. The next prime is 100144267. The reversal of 100144263 is 362441001.

It is a cyclic number.

It is not a de Polignac number, because 100144263 - 2⁸ = 100144007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 97768 + ... + 98786.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^100144263 is an apocalyptic number.

100144263 is a deficient number, since it is larger than the sum of its proper divisors (47910777).

100144263 is a wasteful number, since it uses less digits than its factorization.

100144263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100144263 is about 10007.2105503981. The cubic root of 100144263 is about 464.3819792907.

Adding to 100144263 its reverse (362441001), we get a palindrome (462585264).

The spelling of 100144263 in words is "one hundred million, one hundred forty-four thousand, two hundred sixty-three".