105152209 has 2 divisors, whose sum is σ = 105152210. Its totient is φ = 105152208.

The previous prime is 105152189. The next prime is 105152233. The reversal of 105152209 is 902251501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104611984 + 540225 = 10228^2 + 735^2 .

It is an emirp because it is prime and its reverse (902251501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105152209 is a prime.

It is a super-2 number, since 2×105152209² = 22113974115159362, which contains 22 as substring.

It is equal to p_6040951 and since 105152209 and 6040951 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105152309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576104 + 52576105.

It is an arithmetic number, because the mean of its divisors is an integer number (52576105).

Almost surely, 2^105152209 is an apocalyptic number.

It is an amenable number.

105152209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105152209 is an equidigital number, since it uses as much as digits as its factorization.

105152209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105152209 is about 10254.3751150424. The cubic root of 105152209 is about 471.9972484399.

The spelling of 105152209 in words is "one hundred five million, one hundred fifty-two thousand, two hundred nine".