105891337 has 2 divisors, whose sum is σ = 105891338. Its totient is φ = 105891336.

The previous prime is 105891301. The next prime is 105891347. The reversal of 105891337 is 733198501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99281296 + 6610041 = 9964^2 + 2571^2 .

It is a cyclic number.

It is not a de Polignac number, because 105891337 - 2¹⁹ = 105367049 is a prime.

It is a super-2 number, since 2×105891337² = 22425950503295138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105891296 and 105891305.

It is not a weakly prime, because it can be changed into another prime (105891347) 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, 52945668 + 52945669.

It is an arithmetic number, because the mean of its divisors is an integer number (52945669).

Almost surely, 2^105891337 is an apocalyptic number.

It is an amenable number.

105891337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105891337 is an equidigital number, since it uses as much as digits as its factorization.

105891337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105891337 is about 10290.3516460809. The cubic root of 105891337 is about 473.1005765083.

The spelling of 105891337 in words is "one hundred five million, eight hundred ninety-one thousand, three hundred thirty-seven".