100011677 has 2 divisors, whose sum is σ = 100011678. Its totient is φ = 100011676.

The previous prime is 100011643. The next prime is 100011683. The reversal of 100011677 is 776110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59892121 + 40119556 = 7739^2 + 6334^2 .

It is an emirp because it is prime and its reverse (776110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100011677 - 2¹⁶ = 99946141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005838 + 50005839.

It is an arithmetic number, because the mean of its divisors is an integer number (50005839).

Almost surely, 2^100011677 is an apocalyptic number.

It is an amenable number.

100011677 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011677 is an equidigital number, since it uses as much as digits as its factorization.

100011677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 100011677 is about 10000.5838329570. The cubic root of 100011677 is about 464.1769492690.

Adding to 100011677 its reverse (776110001), we get a palindrome (876121678).

The spelling of 100011677 in words is "one hundred million, eleven thousand, six hundred seventy-seven".