101085857 has 4 divisors (see below), whose sum is σ = 101119536. Its totient is φ = 101052180.

The previous prime is 101085847. The next prime is 101085877. The reversal of 101085857 is 758580101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101085857 - 2⁴ = 101085841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101085827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11843 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (25279884).

Almost surely, 2^101085857 is an apocalyptic number.

It is an amenable number.

101085857 is a deficient number, since it is larger than the sum of its proper divisors (33679).

101085857 is an equidigital number, since it uses as much as digits as its factorization.

101085857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33678.

The product of its (nonzero) digits is 11200, while the sum is 35.

The square root of 101085857 is about 10054.1462591311. The cubic root of 101085857 is about 465.8328727680.

The spelling of 101085857 in words is "one hundred one million, eighty-five thousand, eight hundred fifty-seven".