10100677 has 2 divisors, whose sum is σ = 10100678. Its totient is φ = 10100676.

The previous prime is 10100659. The next prime is 10100683. The reversal of 10100677 is 77600101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7695076 + 2405601 = 2774^2 + 1551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050338 + 5050339.

It is an arithmetic number, because the mean of its divisors is an integer number (5050339).

Almost surely, 2^10100677 is an apocalyptic number.

It is an amenable number.

10100677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100677 is an equidigital number, since it uses as much as digits as its factorization.

10100677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 10100677 is about 3178.1562264936. The cubic root of 10100677 is about 216.1640628830.

Adding to 10100677 its reverse (77600101), we get a palindrome (87700778).

The spelling of 10100677 in words is "ten million, one hundred thousand, six hundred seventy-seven".