105900857 has 2 divisors, whose sum is σ = 105900858. Its totient is φ = 105900856.

The previous prime is 105900853. The next prime is 105900859. The reversal of 105900857 is 758009501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103815721 + 2085136 = 10189^2 + 1444^2 .

It is an emirp because it is prime and its reverse (758009501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105900857 - 2² = 105900853 is a prime.

It is a super-2 number, since 2×105900857² = 22429983026668898, which contains 22 as substring.

Together with 105900859, 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 (105900853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52950428 + 52950429.

It is an arithmetic number, because the mean of its divisors is an integer number (52950429).

Almost surely, 2^105900857 is an apocalyptic number.

It is an amenable number.

105900857 is a deficient number, since it is larger than the sum of its proper divisors (1).

105900857 is an equidigital number, since it uses as much as digits as its factorization.

105900857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 105900857 is about 10290.8142049111. The cubic root of 105900857 is about 473.1147538800.

The spelling of 105900857 in words is "one hundred five million, nine hundred thousand, eight hundred fifty-seven".