105912991 has 2 divisors, whose sum is σ = 105912992. Its totient is φ = 105912990.

The previous prime is 105912971. The next prime is 105913001. The reversal of 105912991 is 199219501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105912991 - 2¹⁵ = 105880223 is a prime.

It is a super-2 number, since 2×105912991² = 22435123325132162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105912991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105912931) 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, 52956495 + 52956496.

It is an arithmetic number, because the mean of its divisors is an integer number (52956496).

Almost surely, 2^105912991 is an apocalyptic number.

105912991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105912991 is an equidigital number, since it uses as much as digits as its factorization.

105912991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 37.

The square root of 105912991 is about 10291.4037429303. The cubic root of 105912991 is about 473.1328228404.

The spelling of 105912991 in words is "one hundred five million, nine hundred twelve thousand, nine hundred ninety-one".