10506077 has 2 divisors, whose sum is σ = 10506078. Its totient is φ = 10506076.

The previous prime is 10506059. The next prime is 10506079. The reversal of 10506077 is 77060501.

10506077 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., 9369721 + 1136356 = 3061^2 + 1066^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506077 - 2¹⁶ = 10440541 is a prime.

It is a super-2 number, since 2×10506077² = 220755307859858, which contains 22 as substring.

Together with 10506079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10506079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253038 + 5253039.

It is an arithmetic number, because the mean of its divisors is an integer number (5253039).

Almost surely, 2^10506077 is an apocalyptic number.

It is an amenable number.

10506077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506077 is an equidigital number, since it uses as much as digits as its factorization.

10506077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10506077 is about 3241.3079150244. The cubic root of 10506077 is about 219.0181938277.

Adding to 10506077 its reverse (77060501), we get a palindrome (87566578).

The spelling of 10506077 in words is "ten million, five hundred six thousand, seventy-seven".