10116723629 has 2 divisors, whose sum is σ = 10116723630. Its totient is φ = 10116723628.

The previous prime is 10116723599. The next prime is 10116723667. The reversal of 10116723629 is 92632761101.

10116723629 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10116723667) can be obtained adding 10116723629 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7094692900 + 3022030729 = 84230^2 + 54973^2 .

It is a cyclic number.

It is not a de Polignac number, because 10116723629 - 2⁸ = 10116723373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10116723592 and 10116723601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10116723829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058361814 + 5058361815.

It is an arithmetic number, because the mean of its divisors is an integer number (5058361815).

Almost surely, 2^10116723629 is an apocalyptic number.

It is an amenable number.

10116723629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116723629 is an equidigital number, since it uses as much as digits as its factorization.

10116723629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 10116723629 in words is "ten billion, one hundred sixteen million, seven hundred twenty-three thousand, six hundred twenty-nine".