110400310329 has 16 divisors (see below), whose sum is σ = 148117972992. Its totient is φ = 73142817408.

The previous prime is 110400310303. The next prime is 110400310367. The reversal of 110400310329 is 923013004011.

It is not a de Polignac number, because 110400310329 - 2⁸ = 110400310073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110400310299 and 110400310308.

It is not an unprimeable number, because it can be changed into a prime (110400310429) 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 15 ways as a sum of consecutive naturals, for example, 144837 + ... + 491709.

It is an arithmetic number, because the mean of its divisors is an integer number (9257373312).

Almost surely, 2^110400310329 is an apocalyptic number.

It is an amenable number.

110400310329 is a deficient number, since it is larger than the sum of its proper divisors (37717662663).

110400310329 is a wasteful number, since it uses less digits than its factorization.

110400310329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347536.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 110400310329 in words is "one hundred ten billion, four hundred million, three hundred ten thousand, three hundred twenty-nine".