10136681 has 2 divisors, whose sum is σ = 10136682. Its totient is φ = 10136680.

The previous prime is 10136677. The next prime is 10136683. The reversal of 10136681 is 18663101.

10136681 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., 6295081 + 3841600 = 2509^2 + 1960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10136681 - 2² = 10136677 is a prime.

It is a super-2 number, since 2×10136681² = 205504603391522, which contains 22 as substring.

Together with 10136683, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10136681.

It is not a weakly prime, because it can be changed into another prime (10136683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068340 + 5068341.

It is an arithmetic number, because the mean of its divisors is an integer number (5068341).

Almost surely, 2^10136681 is an apocalyptic number.

It is an amenable number.

10136681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10136681 is an equidigital number, since it uses as much as digits as its factorization.

10136681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10136681 is about 3183.8154783216. The cubic root of 10136681 is about 216.4205982263.

Adding to 10136681 its reverse (18663101), we get a palindrome (28799782).

The spelling of 10136681 in words is "ten million, one hundred thirty-six thousand, six hundred eighty-one".