105857699 has 2 divisors, whose sum is σ = 105857700. Its totient is φ = 105857698.

The previous prime is 105857621. The next prime is 105857747. The reversal of 105857699 is 996758501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105857699 - 2²⁴ = 89080483 is a prime.

It is a super-2 number, since 2×105857699² = 22411704875149202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105857299) 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, 52928849 + 52928850.

It is an arithmetic number, because the mean of its divisors is an integer number (52928850).

Almost surely, 2^105857699 is an apocalyptic number.

105857699 is a deficient number, since it is larger than the sum of its proper divisors (1).

105857699 is an equidigital number, since it uses as much as digits as its factorization.

105857699 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 50.

The square root of 105857699 is about 10288.7170725995. The cubic root of 105857699 is about 473.0504753289.

The spelling of 105857699 in words is "one hundred five million, eight hundred fifty-seven thousand, six hundred ninety-nine".