101085367 has 2 divisors, whose sum is σ = 101085368. Its totient is φ = 101085366.

The previous prime is 101085353. The next prime is 101085371. The reversal of 101085367 is 763580101.

It is a strong prime.

It is an emirp because it is prime and its reverse (763580101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101085367 - 2⁷ = 101085239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101085307) 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, 50542683 + 50542684.

It is an arithmetic number, because the mean of its divisors is an integer number (50542684).

Almost surely, 2^101085367 is an apocalyptic number.

101085367 is a deficient number, since it is larger than the sum of its proper divisors (1).

101085367 is an equidigital number, since it uses as much as digits as its factorization.

101085367 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 101085367 is about 10054.1218910455. The cubic root of 101085367 is about 465.8321200795.

The spelling of 101085367 in words is "one hundred one million, eighty-five thousand, three hundred sixty-seven".