105118249 has 2 divisors, whose sum is σ = 105118250. Its totient is φ = 105118248.

The previous prime is 105118213. The next prime is 105118267. The reversal of 105118249 is 942811501.

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., 98148649 + 6969600 = 9907^2 + 2640^2 .

It is an emirp because it is prime and its reverse (942811501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105118249 - 2⁷ = 105118121 is a prime.

It is a super-2 number, since 2×105118249² = 22099692545652002, 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 105118249.

It is not a weakly prime, because it can be changed into another prime (105118289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52559124 + 52559125.

It is an arithmetic number, because the mean of its divisors is an integer number (52559125).

Almost surely, 2^105118249 is an apocalyptic number.

It is an amenable number.

105118249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105118249 is an equidigital number, since it uses as much as digits as its factorization.

105118249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105118249 is about 10252.7191027551. The cubic root of 105118249 is about 471.9464308279.

The spelling of 105118249 in words is "one hundred five million, one hundred eighteen thousand, two hundred forty-nine".