101886857 has 2 divisors, whose sum is σ = 101886858. Its totient is φ = 101886856.

The previous prime is 101886839. The next prime is 101886859. The reversal of 101886857 is 758688101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58537801 + 43349056 = 7651^2 + 6584^2 .

It is a cyclic number.

It is not a de Polignac number, because 101886857 - 2¹⁸ = 101624713 is a prime.

Together with 101886859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101886859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50943428 + 50943429.

It is an arithmetic number, because the mean of its divisors is an integer number (50943429).

Almost surely, 2^101886857 is an apocalyptic number.

It is an amenable number.

101886857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101886857 is an equidigital number, since it uses as much as digits as its factorization.

101886857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 107520, while the sum is 44.

The square root of 101886857 is about 10093.9019709922. The cubic root of 101886857 is about 467.0600503276.

The spelling of 101886857 in words is "one hundred one million, eight hundred eighty-six thousand, eight hundred fifty-seven".