101242323 has 72 divisors (see below), whose sum is σ = 186589728. Its totient is φ = 51757056.

The previous prime is 101242319. The next prime is 101242357. The reversal of 101242323 is 323242101.

101242323 is a `hidden beast` number, since 101 + 242 + 323 = 666.

It is not a de Polignac number, because 101242323 - 2² = 101242319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101242296 and 101242305.

It is not an unprimeable number, because it can be changed into a prime (101242363) 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 71 ways as a sum of consecutive naturals, for example, 393811 + ... + 394067.

It is an arithmetic number, because the mean of its divisors is an integer number (2591524).

Almost surely, 2^101242323 is an apocalyptic number.

101242323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101242323 is a deficient number, since it is larger than the sum of its proper divisors (85347405).

101242323 is a wasteful number, since it uses less digits than its factorization.

101242323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101242323 is about 10061.9244183208. The cubic root of 101242323 is about 466.0730957317.

Adding to 101242323 its reverse (323242101), we get a palindrome (424484424).

The spelling of 101242323 in words is "one hundred one million, two hundred forty-two thousand, three hundred twenty-three".