10109585723 has 2 divisors, whose sum is σ = 10109585724. Its totient is φ = 10109585722.

The previous prime is 10109585711. The next prime is 10109585729. The reversal of 10109585723 is 32758590101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10109585723 - 2²⁰ = 10108537147 is a prime.

It is not a weakly prime, because it can be changed into another prime (10109585729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5054792861 + 5054792862.

It is an arithmetic number, because the mean of its divisors is an integer number (5054792862).

Almost surely, 2^10109585723 is an apocalyptic number.

10109585723 is a deficient number, since it is larger than the sum of its proper divisors (1).

10109585723 is an equidigital number, since it uses as much as digits as its factorization.

10109585723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 10109585723 in words is "ten billion, one hundred nine million, five hundred eighty-five thousand, seven hundred twenty-three".