10129781 has 2 divisors, whose sum is σ = 10129782. Its totient is φ = 10129780.

The previous prime is 10129759. The next prime is 10129799. The reversal of 10129781 is 18792101.

10129781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7980625 + 2149156 = 2825^2 + 1466^2 .

It is a cyclic number.

It is not a de Polignac number, because 10129781 - 2¹⁰ = 10128757 is a prime.

It is a super-2 number, since 2×10129781² = 205224926215922, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10129711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064890 + 5064891.

It is an arithmetic number, because the mean of its divisors is an integer number (5064891).

Almost surely, 2^10129781 is an apocalyptic number.

It is an amenable number.

10129781 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129781 is an equidigital number, since it uses as much as digits as its factorization.

10129781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 10129781 is about 3182.7316883457. The cubic root of 10129781 is about 216.3714815222.

The spelling of 10129781 in words is "ten million, one hundred twenty-nine thousand, seven hundred eighty-one".