105831199 has 2 divisors, whose sum is σ = 105831200. Its totient is φ = 105831198.

The previous prime is 105831139. The next prime is 105831203. The reversal of 105831199 is 991138501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105831199 - 2¹³ = 105823007 is a prime.

It is a super-2 number, since 2×105831199² = 22400485363555202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105831139) 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, 52915599 + 52915600.

It is an arithmetic number, because the mean of its divisors is an integer number (52915600).

Almost surely, 2^105831199 is an apocalyptic number.

105831199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105831199 is an equidigital number, since it uses as much as digits as its factorization.

105831199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 37.

The square root of 105831199 is about 10287.4291735107. The cubic root of 105831199 is about 473.0109981694.

It can be divided in two parts, 105831 and 199, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 105831199 in words is "one hundred five million, eight hundred thirty-one thousand, one hundred ninety-nine".