101086317 has 24 divisors (see below), whose sum is σ = 151036704. Its totient is φ = 65111904.

The previous prime is 101086313. The next prime is 101086343. The reversal of 101086317 is 713680101.

101086317 is a `hidden beast` number, since 10 + 10 + 8 + 631 + 7 = 666.

It is not a de Polignac number, because 101086317 - 2² = 101086313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101086313) 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 in 23 ways as a sum of consecutive naturals, for example, 30378 + ... + 33540.

It is an arithmetic number, because the mean of its divisors is an integer number (6293196).

Almost surely, 2^101086317 is an apocalyptic number.

It is an amenable number.

101086317 is a deficient number, since it is larger than the sum of its proper divisors (49950387).

101086317 is a wasteful number, since it uses less digits than its factorization.

101086317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101086317 is about 10054.1691352394. The cubic root of 101086317 is about 465.8335793713.

The spelling of 101086317 in words is "one hundred one million, eighty-six thousand, three hundred seventeen".