100111323 has 32 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 57943296.

The previous prime is 100111321. The next prime is 100111327. The reversal of 100111323 is 323111001.

It is not a de Polignac number, because 100111323 - 2¹ = 100111321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111299 and 100111308.

It is not an unprimeable number, because it can be changed into a prime (100111321) 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 31 ways as a sum of consecutive naturals, for example, 123343 + ... + 124151.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^100111323 is an apocalyptic number.

100111323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100111323 is a deficient number, since it is larger than the sum of its proper divisors (52298277).

100111323 is a wasteful number, since it uses less digits than its factorization.

100111323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100111323 is about 10005.5646017604. The cubic root of 100111323 is about 464.3310580183.

Adding to 100111323 its reverse (323111001), we get a palindrome (423222324).

The spelling of 100111323 in words is "one hundred million, one hundred eleven thousand, three hundred twenty-three".