10506110075723 has 2 divisors, whose sum is σ = 10506110075724. Its totient is φ = 10506110075722.

The previous prime is 10506110075711. The next prime is 10506110075767. The reversal of 10506110075723 is 32757001160501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10506110075723 - 2¹⁰ = 10506110074699 is a prime.

It is a super-2 number, since 2×10506110075723² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10506110075423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253055037861 + 5253055037862.

It is an arithmetic number, because the mean of its divisors is an integer number (5253055037862).

Almost surely, 2^{10506110075723} is an apocalyptic number.

10506110075723 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506110075723 is an equidigital number, since it uses as much as digits as its factorization.

10506110075723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 10506110075723 in words is "ten trillion, five hundred six billion, one hundred ten million, seventy-five thousand, seven hundred twenty-three".